Keyword Index

A

  • Abel integral equation Optimal homotopy asymptotic and multistage optimal homotopy asymptotic methods for Abel Volterra integral equation of the second kind [Volume 8, Issue 4, 2020, Pages 770-780]
  • Adomian’s polynomial Analytical approximations of one-dimensional hyperbolic equation with non-local integral conditions by reduced differential transform method [Volume 8, Issue 3, 2020, Pages 537-552]
  • Airy function Fractional Ostrovsky equation [Volume 8, Issue 4, 2020, Pages 648-660]
  • Approximate Lie symmetry analysis Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter [Volume 8, Issue 1, 2020, Pages 111-118]
  • Approximate solutions Analytical approximations of one-dimensional hyperbolic equation with non-local integral conditions by reduced differential transform method [Volume 8, Issue 3, 2020, Pages 537-552]
  • Arbitrary order derivative Study of new monotone iterative technique for a class of arbitrary order differential equations [Volume 8, Issue 4, 2020, Pages 639-647]
  • Asymptotic behavior Fractional Ostrovsky equation [Volume 8, Issue 4, 2020, Pages 648-660]
  • Asymptotic mean-square stability Preserving asymptotic mean-square stability of stochastic theta scheme for systems of stochastic delay differential equations [Volume 8, Issue 3, 2020, Pages 468-479]

B

  • Bakhvalov mesh A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition [Volume 8, Issue 2, 2020, Pages 236-250]
  • BBM equation Symbolic methods to construct a cusp, breathers, kink, rogue waves and some soliton waves solutions of nonlinear partial differential equations [Volume 8, Issue 3, 2020, Pages 597-609]
  • Benjamin-Ono equations extensions On the new extensions to the Benjamin-Ono equation [Volume 8, Issue 3, 2020, Pages 424-445]
  • Bernstein polynomials Residual Method for Nonlinear System of Initial Value Problems [Volume 8, Issue 4, 2020, Pages 733-744]
  • Best approximating Solving Optimal Control Problems by using Hermite polynomials [Volume 8, Issue 2, 2020, Pages 314-329]
  • Boundary formula Application of spline to approximate the solution of singularly perturbed boundary-value problems [Volume 8, Issue 2, 2020, Pages 373-388]
  • Boundary value method Solving the Fokker-Planck equation via the compact finite difference method [Volume 8, Issue 3, 2020, Pages 493-504]
  • Boundary value problems Study of new monotone iterative technique for a class of arbitrary order differential equations [Volume 8, Issue 4, 2020, Pages 639-647]
  • Boundary value problems Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals [Volume 8, Issue 2, 2020, Pages 294-304]
  • B-spline function Development of non polynomial spline and New B-spline with application to solution of Klein-Gordon equation [Volume 8, Issue 4, 2020, Pages 794-814]
  • Buckmaster equation‎ Self-adjointness‎, ‎conservation laws and invariant solutions of the Buckmaster equation [Volume 8, Issue 1, 2020, Pages 85-98]
  • Burgers equation Applications of the Newton-Raphson method in a SDFEM for inviscid Burgers equation [Volume 8, Issue 4, 2020, Pages 708-732]

C

  • CADNA library The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations [Volume 8, Issue 4, 2020, Pages 685-707]
  • Caputo derivative The solving integro-differential equations of fractional order with the ultraspherical functions [Volume 8, Issue 1, 2020, Pages 205-211]
  • Cauchy problem Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations [Volume 8, Issue 1, 2020, Pages 212-221]
  • CESTAC method The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations [Volume 8, Issue 4, 2020, Pages 685-707]
  • Collocation method Solving the Fokker-Planck equation via the compact finite difference method [Volume 8, Issue 3, 2020, Pages 493-504]
  • Collocation method Solving one dimensional nonlinear coupled Burger’s equations using high accuracy multiquadric quasi-interpolation [Volume 8, Issue 2, 2020, Pages 347-363]
  • Compact finite difference A Computational Method for Solving the Lane-Emden Initial Value Problems [Volume 8, Issue 4, 2020, Pages 673-684]
  • Compact finite difference Solving one dimensional nonlinear coupled Burger’s equations using high accuracy multiquadric quasi-interpolation [Volume 8, Issue 2, 2020, Pages 347-363]
  • Compact finite difference method An efficient high-order compact finite difference method for the Helmholtz equation [Volume 8, Issue 3, 2020, Pages 553-563]
  • Compact method Solving the Fokker-Planck equation via the compact finite difference method [Volume 8, Issue 3, 2020, Pages 493-504]
  • Compacton Approximate analytic compacton solutions of the K(p, p) equation by reduced differential transform method [Volume 8, Issue 4, 2020, Pages 827-839]
  • Complex mixed-dark and bright solitons Complex Wave Surfaces to the Extended Shallow Water Wave Model with (2+1)-dimensional [Volume 8, Issue 3, 2020, Pages 585-596]
  • Conformable fractional derivative Neumann method for solving conformable fractional Volterra integral equations [Volume 8, Issue 1, 2020, Pages 54-68]
  • Conservation laws Symmetry analysis and conservation laws for higher order CamassaHolm equation [Volume 8, Issue 2, 2020, Pages 364-372]
  • Consistency The numerical solution of Fisher equation: A nonstandard finite difference in conjunction with Richtmyer formula [Volume 8, Issue 2, 2020, Pages 330-346]
  • Constant matrix coefficients Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations [Volume 8, Issue 1, 2020, Pages 212-221]
  • Constrained differential equations Shortest Path Problem With Ordinary Differential Equations Constrained [Volume 8, Issue 4, 2020, Pages 661-672]
  • Convergence The numerical solution of Fisher equation: A nonstandard finite difference in conjunction with Richtmyer formula [Volume 8, Issue 2, 2020, Pages 330-346]
  • Convergence analysis Development of non polynomial spline and New B-spline with application to solution of Klein-Gordon equation [Volume 8, Issue 4, 2020, Pages 794-814]
  • Convergence analysis Application of spline to approximate the solution of singularly perturbed boundary-value problems [Volume 8, Issue 2, 2020, Pages 373-388]
  • Cubic C$^1$-spline Solving the Fokker-Planck equation via the compact finite difference method [Volume 8, Issue 3, 2020, Pages 493-504]

D

  • Darboux Lemma Isospectral sixth order Sturm-Liouville eigenvalue problems [Volume 8, Issue 4, 2020, Pages 762-769]
  • Delay differential equation Oscillatory behavior for nonlinear delay differential equation with several non-monotone arguments [Volume 8, Issue 1, 2020, Pages 14-27]
  • Delay integral equations Solving Ito integral equations with time delay via basis functions [Volume 8, Issue 2, 2020, Pages 268-281]
  • Differential equation The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations [Volume 8, Issue 4, 2020, Pages 685-707]
  • Differential invariants Applying new wavelet transform method on the generalized-FKPP equation [Volume 8, Issue 2, 2020, Pages 259-267]
  • Differential transformation method An efficient method to approximate eigenvalues and eigenfunctions of high order Sturm-Liouville problems [Volume 8, Issue 2, 2020, Pages 389-400]
  • Diffusion-Convection equation A numerical scheme for diffusion-convection equation with piecewise constant arguments [Volume 8, Issue 3, 2020, Pages 573-584]
  • Discrete-time Matrix inverse eigenvalue problem for stabilization of fractional descriptor discrete-time linear systems by forward and propositional output feedback [Volume 8, Issue 4, 2020, Pages 745-761]
  • Distribution of zeros for the solution Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals [Volume 8, Issue 2, 2020, Pages 294-304]

E

F

  • Fast discrete sine transform An efficient high-order compact finite difference method for the Helmholtz equation [Volume 8, Issue 3, 2020, Pages 553-563]
  • Faugere's algorithm Solving Stiff Systems by using Symbolic - Numerical Method [Volume 8, Issue 2, 2020, Pages 282-293]
  • Filippov systems Lyapunov exponents for discontinuous dynamical systems of Filippov type [Volume 8, Issue 3, 2020, Pages 446-453]
  • Finite difference Meshless local radial point interpolation (MLRPI) to two dimensional wave equation with Neumann’s boundary conditions [Volume 8, Issue 1, 2020, Pages 155-172]
  • Fisher’s Equation The numerical solution of Fisher equation: A nonstandard finite difference in conjunction with Richtmyer formula [Volume 8, Issue 2, 2020, Pages 330-346]
  • Fokker-Planck equation Solving the Fokker-Planck equation via the compact finite difference method [Volume 8, Issue 3, 2020, Pages 493-504]
  • Forward-backward stochastic differential equations Some Results on Reflected Forward-Backward Stochastic differential equations [Volume 8, Issue 3, 2020, Pages 480-492]
  • Fractional Black-Scholes equation Application of cubic B-spline quasi-interpolation for solving timefractional partial differential equation [Volume 8, Issue 4, 2020, Pages 781-793]
  • Fractional derivative A pseudo-spectral based method for time-fractional advection-diffusion equation [Volume 8, Issue 3, 2020, Pages 454-467]
  • Fractional descriptor Matrix inverse eigenvalue problem for stabilization of fractional descriptor discrete-time linear systems by forward and propositional output feedback [Volume 8, Issue 4, 2020, Pages 745-761]
  • Fractional integro-differential equation The solving integro-differential equations of fractional order with the ultraspherical functions [Volume 8, Issue 1, 2020, Pages 205-211]
  • Fractional order A Study on ‎‎Functional Fractional Integro-Differential Equations ‎of Hammerstein type [Volume 8, Issue 1, 2020, Pages 173-193]
  • Fractional Ostrovsky equation Fractional Ostrovsky equation [Volume 8, Issue 4, 2020, Pages 648-660]
  • Fractional singular differential equation Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions [Volume 8, Issue 4, 2020, Pages 610-638]
  • Functional Hammerstein integro-differential equations A Study on ‎‎Functional Fractional Integro-Differential Equations ‎of Hammerstein type [Volume 8, Issue 1, 2020, Pages 173-193]

G

  • Gauss-Legendre nodes Legendre-collocation spectral solver for variable-order fractional functional differential equations [Volume 8, Issue 1, 2020, Pages 99-110]
  • Grobner basis Solving Stiff Systems by using Symbolic - Numerical Method [Volume 8, Issue 2, 2020, Pages 282-293]
  • Group-invariant solution Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter [Volume 8, Issue 1, 2020, Pages 111-118]
  • Group-invariant solution Symmetry analysis and exact solutions of acoustic equation [Volume 8, Issue 3, 2020, Pages 523-536]
  • Group-invariant solution Group-invariant solutions for time-fractional Fornberg-Whitham equation by Lie symmetry analysis [Volume 8, Issue 2, 2020, Pages 251-258]

H

  • Haar wavelet Haar wavelet iteration method for solving time fractional Fisher's equation [Volume 8, Issue 3, 2020, Pages 505-522]
  • Haar wavelets Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions [Volume 8, Issue 4, 2020, Pages 610-638]
  • Heat equation A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation [Volume 8, Issue 1, 2020, Pages 1-13]
  • Helmholtz equation An efficient high-order compact finite difference method for the Helmholtz equation [Volume 8, Issue 3, 2020, Pages 553-563]
  • Hermite polynomials Solving Optimal Control Problems by using Hermite polynomials [Volume 8, Issue 2, 2020, Pages 314-329]
  • Higher order Camassa-Holm equation Symmetry analysis and conservation laws for higher order CamassaHolm equation [Volume 8, Issue 2, 2020, Pages 364-372]
  • High order sturm-liouville problems An efficient method to approximate eigenvalues and eigenfunctions of high order Sturm-Liouville problems [Volume 8, Issue 2, 2020, Pages 389-400]
  • Hyperbolic and parabolic contours On the numerical approximation of Volterra integro-differential equation using Laplace transform [Volume 8, Issue 2, 2020, Pages 305-313]
  • Hyperbolic partial differential equation Analytical approximations of one-dimensional hyperbolic equation with non-local integral conditions by reduced differential transform method [Volume 8, Issue 3, 2020, Pages 537-552]

I

  • Image Denoising A denoising PDE model based on isotropic diffusion and total variation models [Volume 8, Issue 4, 2020, Pages 815-826]
  • Implicit fractional differential equations Impulsive initial value problems for a class of implicit fractional differential equations [Volume 8, Issue 1, 2020, Pages 141-154]
  • Implicit method Shortest Path Problem With Ordinary Differential Equations Constrained [Volume 8, Issue 4, 2020, Pages 661-672]
  • Impulses Impulsive initial value problems for a class of implicit fractional differential equations [Volume 8, Issue 1, 2020, Pages 141-154]
  • Increasing processes Some Results on Reflected Forward-Backward Stochastic differential equations [Volume 8, Issue 3, 2020, Pages 480-492]
  • Initial value problem Impulsive initial value problems for a class of implicit fractional differential equations [Volume 8, Issue 1, 2020, Pages 141-154]
  • Interval analysis‎ Interval extensions of the Halley method and its modified method for finding enclosures of roots of nonlinear equations [Volume 8, Issue 2, 2020, Pages 222-235]
  • Inverse source problem A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation [Volume 8, Issue 1, 2020, Pages 1-13]
  • Isotropic Diffusion A denoising PDE model based on isotropic diffusion and total variation models [Volume 8, Issue 4, 2020, Pages 815-826]
  • It^o integral Solving Ito integral equations with time delay via basis functions [Volume 8, Issue 2, 2020, Pages 268-281]

J

K

  • K(p Approximate analytic compacton solutions of the K(p, p) equation by reduced differential transform method [Volume 8, Issue 4, 2020, Pages 827-839]

L

  • Lane-Emden equation A Computational Method for Solving the Lane-Emden Initial Value Problems [Volume 8, Issue 4, 2020, Pages 673-684]
  • Laplace transform A new operational matrix of Muntz-Legendre polynomials and Petrov-Galerkin method for solving fractional Volterra-Fredholm integro-differential equations [Volume 8, Issue 3, 2020, Pages 408-423]
  • Laplace transform Application of cubic B-spline quasi-interpolation for solving timefractional partial differential equation [Volume 8, Issue 4, 2020, Pages 781-793]
  • Laplace Transforms On the numerical approximation of Volterra integro-differential equation using Laplace transform [Volume 8, Issue 2, 2020, Pages 305-313]
  • Lie point symmetry A new method for constructing exact solutions for a time-fractional differential equation [Volume 8, Issue 1, 2020, Pages 194-204]
  • Lie symmetry Symmetry analysis and exact solutions of acoustic equation [Volume 8, Issue 3, 2020, Pages 523-536]
  • Lie symmetry Symmetry analysis and conservation laws for higher order CamassaHolm equation [Volume 8, Issue 2, 2020, Pages 364-372]
  • Lie symmetry analysis Group-invariant solutions for time-fractional Fornberg-Whitham equation by Lie symmetry analysis [Volume 8, Issue 2, 2020, Pages 251-258]
  • Linear differential equations Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals [Volume 8, Issue 2, 2020, Pages 294-304]
  • Linear fractional derivative system Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations [Volume 8, Issue 1, 2020, Pages 212-221]
  • Local weak formulation Meshless local radial point interpolation (MLRPI) to two dimensional wave equation with Neumann’s boundary conditions [Volume 8, Issue 1, 2020, Pages 155-172]
  • Lorenz system Residual Method for Nonlinear System of Initial Value Problems [Volume 8, Issue 4, 2020, Pages 733-744]
  • Lyapunov exponents Lyapunov exponents for discontinuous dynamical systems of Filippov type [Volume 8, Issue 3, 2020, Pages 446-453]

M

  • Matrix equation Legendre-collocation spectral solver for variable-order fractional functional differential equations [Volume 8, Issue 1, 2020, Pages 99-110]
  • Matrix inverse eigenvalue problem Matrix inverse eigenvalue problem for stabilization of fractional descriptor discrete-time linear systems by forward and propositional output feedback [Volume 8, Issue 4, 2020, Pages 745-761]
  • Meshless local radial point interpolation (MLRPI) Meshless local radial point interpolation (MLRPI) to two dimensional wave equation with Neumann’s boundary conditions [Volume 8, Issue 1, 2020, Pages 155-172]
  • Mittag-Leffler function Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations [Volume 8, Issue 1, 2020, Pages 212-221]
  • Mittag-Leffler functions A pseudo-spectral based method for time-fractional advection-diffusion equation [Volume 8, Issue 3, 2020, Pages 454-467]
  • Modified extended tanh method On the new extensions to the Benjamin-Ono equation [Volume 8, Issue 3, 2020, Pages 424-445]
  • Monotone iterative technique Study of new monotone iterative technique for a class of arbitrary order differential equations [Volume 8, Issue 4, 2020, Pages 639-647]
  • Monotonicity condition Some Results on Reflected Forward-Backward Stochastic differential equations [Volume 8, Issue 3, 2020, Pages 480-492]
  • Moore-Penrose inverse Matrix inverse eigenvalue problem for stabilization of fractional descriptor discrete-time linear systems by forward and propositional output feedback [Volume 8, Issue 4, 2020, Pages 745-761]
  • Mother wavelet Applying new wavelet transform method on the generalized-FKPP equation [Volume 8, Issue 2, 2020, Pages 259-267]
  • Multiquadric quasi-interpolation Solving one dimensional nonlinear coupled Burger’s equations using high accuracy multiquadric quasi-interpolation [Volume 8, Issue 2, 2020, Pages 347-363]
  • Multi-step methods Stability analysis of third derivative multi-step methods for stiff initial value problems [Volume 8, Issue 3, 2020, Pages 564-572]
  • Muntz-Legendre polynomia A new operational matrix of Muntz-Legendre polynomials and Petrov-Galerkin method for solving fractional Volterra-Fredholm integro-differential equations [Volume 8, Issue 3, 2020, Pages 408-423]

N

  • Neumann method Neumann method for solving conformable fractional Volterra integral equations [Volume 8, Issue 1, 2020, Pages 54-68]
  • Neumann’s boundary conditions Meshless local radial point interpolation (MLRPI) to two dimensional wave equation with Neumann’s boundary conditions [Volume 8, Issue 1, 2020, Pages 155-172]
  • New extended direct algebraic method New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics [Volume 8, Issue 1, 2020, Pages 28-53]
  • Newton-Raphson method Applications of the Newton-Raphson method in a SDFEM for inviscid Burgers equation [Volume 8, Issue 4, 2020, Pages 708-732]
  • Non-classic condition Analytical approximations of one-dimensional hyperbolic equation with non-local integral conditions by reduced differential transform method [Volume 8, Issue 3, 2020, Pages 537-552]
  • Nonlinear Oscillatory behavior for nonlinear delay differential equation with several non-monotone arguments [Volume 8, Issue 1, 2020, Pages 14-27]
  • Nonlinear evolution equation New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics [Volume 8, Issue 1, 2020, Pages 28-53]
  • Nonlinear evolution equation Symbolic methods to construct a cusp, breathers, kink, rogue waves and some soliton waves solutions of nonlinear partial differential equations [Volume 8, Issue 3, 2020, Pages 597-609]
  • Nonlinear initial value systems Residual Method for Nonlinear System of Initial Value Problems [Volume 8, Issue 4, 2020, Pages 733-744]
  • Nonlinear Klein-Gordon equation Development of non polynomial spline and New B-spline with application to solution of Klein-Gordon equation [Volume 8, Issue 4, 2020, Pages 794-814]
  • Non-monotone argument Oscillatory behavior for nonlinear delay differential equation with several non-monotone arguments [Volume 8, Issue 1, 2020, Pages 14-27]
  • Nonoscillatory solutions Oscillatory behavior for nonlinear delay differential equation with several non-monotone arguments [Volume 8, Issue 1, 2020, Pages 14-27]
  • Non-polynomial spline function Development of non polynomial spline and New B-spline with application to solution of Klein-Gordon equation [Volume 8, Issue 4, 2020, Pages 794-814]
  • Nonstandard Finite-difference scheme The numerical solution of Fisher equation: A nonstandard finite difference in conjunction with Richtmyer formula [Volume 8, Issue 2, 2020, Pages 330-346]
  • Numerical solution Haar wavelet iteration method for solving time fractional Fisher's equation [Volume 8, Issue 3, 2020, Pages 505-522]

O

  • One dimensional coupled nonlinear Burger’s equations Solving one dimensional nonlinear coupled Burger’s equations using high accuracy multiquadric quasi-interpolation [Volume 8, Issue 2, 2020, Pages 347-363]
  • Operational matrices Haar wavelet iteration method for solving time fractional Fisher's equation [Volume 8, Issue 3, 2020, Pages 505-522]
  • Operational matrix A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation [Volume 8, Issue 1, 2020, Pages 1-13]
  • Operational matrix of derivative‎ Solving Optimal Control Problems by using Hermite polynomials [Volume 8, Issue 2, 2020, Pages 314-329]
  • Optimal control Solving Optimal Control Problems by using Hermite polynomials [Volume 8, Issue 2, 2020, Pages 314-329]
  • Optimal Homotopy Asymptotic method Optimal homotopy asymptotic and multistage optimal homotopy asymptotic methods for Abel Volterra integral equation of the second kind [Volume 8, Issue 4, 2020, Pages 770-780]
  • Optimal system Symmetry analysis and conservation laws for higher order CamassaHolm equation [Volume 8, Issue 2, 2020, Pages 364-372]
  • Oscillatory solutions Oscillatory behavior for nonlinear delay differential equation with several non-monotone arguments [Volume 8, Issue 1, 2020, Pages 14-27]
  • Output feedback Matrix inverse eigenvalue problem for stabilization of fractional descriptor discrete-time linear systems by forward and propositional output feedback [Volume 8, Issue 4, 2020, Pages 745-761]

P

  • Partial differential equation A denoising PDE model based on isotropic diffusion and total variation models [Volume 8, Issue 4, 2020, Pages 815-826]
  • Petrov-Galerkin method A new operational matrix of Muntz-Legendre polynomials and Petrov-Galerkin method for solving fractional Volterra-Fredholm integro-differential equations [Volume 8, Issue 3, 2020, Pages 408-423]
  • Picard iteration Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions [Volume 8, Issue 4, 2020, Pages 610-638]
  • Pseudo-spectral method A pseudo-spectral based method for time-fractional advection-diffusion equation [Volume 8, Issue 3, 2020, Pages 454-467]

Q

  • Quasi-interpolation Application of cubic B-spline quasi-interpolation for solving timefractional partial differential equation [Volume 8, Issue 4, 2020, Pages 781-793]
  • Quasi-wavelet Applying new wavelet transform method on the generalized-FKPP equation [Volume 8, Issue 2, 2020, Pages 259-267]

R

  • Radial basis function Meshless local radial point interpolation (MLRPI) to two dimensional wave equation with Neumann’s boundary conditions [Volume 8, Issue 1, 2020, Pages 155-172]
  • Radial basis function (RBF) The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations [Volume 8, Issue 4, 2020, Pages 685-707]
  • Rational On the travelling wave solutions of Ostrovsky equation [Volume 8, Issue 2, 2020, Pages 401-407]
  • Reduced Differential Transform Method Approximate analytic compacton solutions of the K(p, p) equation by reduced differential transform method [Volume 8, Issue 4, 2020, Pages 827-839]
  • Reduced Differential Transform Method Analytical approximations of one-dimensional hyperbolic equation with non-local integral conditions by reduced differential transform method [Volume 8, Issue 3, 2020, Pages 537-552]
  • Residual method Residual Method for Nonlinear System of Initial Value Problems [Volume 8, Issue 4, 2020, Pages 733-744]
  • Riemann-Liouville fractional integrals K-fractional integral inequalities of Hadamard type for (h − m)−convex functions [Volume 8, Issue 1, 2020, Pages 119-140]
  • Riemann-Liouville k−fractional integrals K-fractional integral inequalities of Hadamard type for (h − m)−convex functions [Volume 8, Issue 1, 2020, Pages 119-140]

S

  • Second-kind Chebyshev wavelets Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions [Volume 8, Issue 4, 2020, Pages 610-638]
  • Semi-critical interval Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals [Volume 8, Issue 2, 2020, Pages 294-304]
  • Semi-oscillatory interval Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals [Volume 8, Issue 2, 2020, Pages 294-304]
  • Shifted Chebyshev polynomial A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation [Volume 8, Issue 1, 2020, Pages 1-13]
  • Shifted Chebyshev-Tau method A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation [Volume 8, Issue 1, 2020, Pages 1-13]
  • Shifted Legendre polynomials Legendre-collocation spectral solver for variable-order fractional functional differential equations [Volume 8, Issue 1, 2020, Pages 99-110]
  • Shortest path Shortest Path Problem With Ordinary Differential Equations Constrained [Volume 8, Issue 4, 2020, Pages 661-672]
  • Similarity solutions Symmetry analysis and conservation laws for higher order CamassaHolm equation [Volume 8, Issue 2, 2020, Pages 364-372]
  • Sine-Gordon expansion method Complex Wave Surfaces to the Extended Shallow Water Wave Model with (2+1)-dimensional [Volume 8, Issue 3, 2020, Pages 585-596]
  • Singularly perturbed boundary-value problems Application of spline to approximate the solution of singularly perturbed boundary-value problems [Volume 8, Issue 2, 2020, Pages 373-388]
  • Singular perturbation A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition [Volume 8, Issue 2, 2020, Pages 236-250]
  • Solitary wave solutions On the new extensions to the Benjamin-Ono equation [Volume 8, Issue 3, 2020, Pages 424-445]
  • Soliton solutions On the travelling wave solutions of Ostrovsky equation [Volume 8, Issue 2, 2020, Pages 401-407]
  • Spectrum Isospectral sixth order Sturm-Liouville eigenvalue problems [Volume 8, Issue 4, 2020, Pages 762-769]
  • Stability The numerical solution of Fisher equation: A nonstandard finite difference in conjunction with Richtmyer formula [Volume 8, Issue 2, 2020, Pages 330-346]
  • Stability analysis Stability analysis of third derivative multi-step methods for stiff initial value problems [Volume 8, Issue 3, 2020, Pages 564-572]
  • Stiff initial-value problems Solving Stiff Systems by using Symbolic - Numerical Method [Volume 8, Issue 2, 2020, Pages 282-293]
  • Stiff ODEs Stability analysis of third derivative multi-step methods for stiff initial value problems [Volume 8, Issue 3, 2020, Pages 564-572]
  • Stochastic Arithmetic The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations [Volume 8, Issue 4, 2020, Pages 685-707]
  • Stochastic delay differential equations Preserving asymptotic mean-square stability of stochastic theta scheme for systems of stochastic delay differential equations [Volume 8, Issue 3, 2020, Pages 468-479]
  • Stochastic linear theta scheme Preserving asymptotic mean-square stability of stochastic theta scheme for systems of stochastic delay differential equations [Volume 8, Issue 3, 2020, Pages 468-479]
  • Stochastic operational matrix Solving Ito integral equations with time delay via basis functions [Volume 8, Issue 2, 2020, Pages 268-281]
  • Stochastic Volterra-Fredholm integral equations Solving Ito integral equations with time delay via basis functions [Volume 8, Issue 2, 2020, Pages 268-281]
  • Successive approximations‎‎ A Study on ‎‎Functional Fractional Integro-Differential Equations ‎of Hammerstein type [Volume 8, Issue 1, 2020, Pages 173-193]
  • Super-future point technique Stability analysis of third derivative multi-step methods for stiff initial value problems [Volume 8, Issue 3, 2020, Pages 564-572]
  • Sylvester equation Haar wavelet iteration method for solving time fractional Fisher's equation [Volume 8, Issue 3, 2020, Pages 505-522]

T

  • Tension spline Application of spline to approximate the solution of singularly perturbed boundary-value problems [Volume 8, Issue 2, 2020, Pages 373-388]
  • The $exp(-phi(xi))$-expansion method Symbolic methods to construct a cusp, breathers, kink, rogue waves and some soliton waves solutions of nonlinear partial differential equations [Volume 8, Issue 3, 2020, Pages 597-609]
  • The GFKPP equation Applying new wavelet transform method on the generalized-FKPP equation [Volume 8, Issue 2, 2020, Pages 259-267]
  • The wavelet transform Applying new wavelet transform method on the generalized-FKPP equation [Volume 8, Issue 2, 2020, Pages 259-267]
  • Time-fractional advection-diffusion equations A pseudo-spectral based method for time-fractional advection-diffusion equation [Volume 8, Issue 3, 2020, Pages 454-467]
  • Time-fractional Fornberg-Whitham equation Group-invariant solutions for time-fractional Fornberg-Whitham equation by Lie symmetry analysis [Volume 8, Issue 2, 2020, Pages 251-258]
  • Time-fractional KdV equation Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter [Volume 8, Issue 1, 2020, Pages 111-118]
  • Total Variation A denoising PDE model based on isotropic diffusion and total variation models [Volume 8, Issue 4, 2020, Pages 815-826]
  • Trapezoidal quadrature rule A Study on ‎‎Functional Fractional Integro-Differential Equations ‎of Hammerstein type [Volume 8, Issue 1, 2020, Pages 173-193]
  • Trapezoidal rule On the numerical approximation of Volterra integro-differential equation using Laplace transform [Volume 8, Issue 2, 2020, Pages 305-313]
  • Tzitzica type evolution equations New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics [Volume 8, Issue 1, 2020, Pages 28-53]

U

  • Ultraspherical functions The solving integro-differential equations of fractional order with the ultraspherical functions [Volume 8, Issue 1, 2020, Pages 205-211]
  • Uniformly convergence A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition [Volume 8, Issue 2, 2020, Pages 236-250]

V

W

  • Wavelet Applying new wavelet transform method on the generalized-FKPP equation [Volume 8, Issue 2, 2020, Pages 259-267]
  • Wright function Fractional Ostrovsky equation [Volume 8, Issue 4, 2020, Pages 648-660]