Keyword Index

A

  • Abelian integral An extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system [Volume 6, Issue 4, 2018, Pages 438-447]
  • Activated sludge Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants [Volume 6, Issue 4, 2018, Pages 448-455]
  • Ansatz method Solving nonlinear space-time fractional differential equations via ansatz method [Volume 6, Issue 1, 2018, Pages 1-11]
  • Approximate quadratures Solving singular integral equations by using orthogonal polynomials [Volume 6, Issue 4, 2018, Pages 411-425]
  • Asymptotically stable On asymptotic stability of Weber fractional differential systems [Volume 6, Issue 1, 2018, Pages 30-39]
  • Axisymmetric flow Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder [Volume 6, Issue 4, 2018, Pages 483-500]

B

  • Bifurcation Discretization of a fractional order ratio-dependent functional response predator-prey model, bifurcation and chaos [Volume 6, Issue 2, 2018, Pages 248-265]
  • Black-Scholes PDE European and American put valuation via a high-order semi-discretization scheme [Volume 6, Issue 1, 2018, Pages 63-79]
  • Blasius ‎equation‎‎ N‎umerical ‎q‎uasilinearization scheme ‎for the integral equation form of the Blasius equation [Volume 6, Issue 2, 2018, Pages 141-156]
  • Boundary layer A method based on the meshless approach for singularly perturbed differential-difference equations with Boundary layers [Volume 6, Issue 3, 2018, Pages 295-311]
  • Boundary value problem Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder [Volume 6, Issue 4, 2018, Pages 483-500]

C

  • Caputo derivative A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells [Volume 6, Issue 3, 2018, Pages 353-371]
  • Caputo fractional derivative An efficient extension of the Chebyshev cardinal functions for differential equations with coordinate derivatives of non-integer order [Volume 6, Issue 3, 2018, Pages 339-352]
  • Carbon substrate Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants [Volume 6, Issue 4, 2018, Pages 448-455]
  • Center manifold Center manifold analysis and Hopf bifurcation of within-host virus model [Volume 6, Issue 3, 2018, Pages 266-279]
  • Characteristics method ‎ Exact solutions of a linear fractional partial differential equation via characteristics method [Volume 6, Issue 1, 2018, Pages 12-18]
  • Chebyshev cardinal functions An efficient extension of the Chebyshev cardinal functions for differential equations with coordinate derivatives of non-integer order [Volume 6, Issue 3, 2018, Pages 339-352]
  • Chebyshev finite difference method Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants [Volume 6, Issue 4, 2018, Pages 448-455]
  • Chebyshev-Gauss-Lobbato points An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations [Volume 6, Issue 3, 2018, Pages 280-294]
  • Chebyshev polynomial A novel technique for a class of singular boundary value problems [Volume 6, Issue 1, 2018, Pages 40-52]
  • Chebyshev property An extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system [Volume 6, Issue 4, 2018, Pages 438-447]
  • Chebyshev systems Solving singular integral equations by using orthogonal polynomials [Volume 6, Issue 4, 2018, Pages 411-425]
  • Collocation method An improved collocation method based on deviation of the error for solving BBMB equation [Volume 6, Issue 2, 2018, Pages 238-247]
  • Collocation method Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder [Volume 6, Issue 4, 2018, Pages 483-500]
  • Collocation methods Numerical studies of non-local hyperbolic partial differential equations using collocation methods [Volume 6, Issue 3, 2018, Pages 326-338]
  • Complex inversion formula L2-transforms for boundary value problems [Volume 6, Issue 2, 2018, Pages 176-185]
  • Continuous time optimization problem A novel technique for a class of singular boundary value problems [Volume 6, Issue 1, 2018, Pages 40-52]
  • Convection-diffusion equation Numerical solution of Convection-Diffusion equations with memory term based on sinc method [Volume 6, Issue 3, 2018, Pages 380-395]

D

  • Defect principle An improved collocation method based on deviation of the error for solving BBMB equation [Volume 6, Issue 2, 2018, Pages 238-247]
  • Deviation of the error An improved collocation method based on deviation of the error for solving BBMB equation [Volume 6, Issue 2, 2018, Pages 238-247]
  • Differential-difference equation A method based on the meshless approach for singularly perturbed differential-difference equations with Boundary layers [Volume 6, Issue 3, 2018, Pages 295-311]
  • Discrete optimization problem A novel technique for a class of singular boundary value problems [Volume 6, Issue 1, 2018, Pages 40-52]
  • Discretization Discretization of a fractional order ratio-dependent functional response predator-prey model, bifurcation and chaos [Volume 6, Issue 2, 2018, Pages 248-265]

E

  • Ecological phenomena A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon [Volume 6, Issue 1, 2018, Pages 98-110]
  • ECT-system An extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system [Volume 6, Issue 4, 2018, Pages 438-447]
  • Eigenfunction method A numerical technique for solving a class of 2D variational problems using Legendre spectral method [Volume 6, Issue 4, 2018, Pages 471-482]
  • Elliptic Partial differential equation New variants of the global Krylov type methods for linear systems with multiple right-hand sides arising in elliptic PDEs [Volume 6, Issue 2, 2018, Pages 111-127]
  • Error analysis Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations [Volume 6, Issue 1, 2018, Pages 80-97]
  • Exact finite difference An improved collocation method based on deviation of the error for solving BBMB equation [Volume 6, Issue 2, 2018, Pages 238-247]
  • Exact solution Solving nonlinear space-time fractional differential equations via ansatz method [Volume 6, Issue 1, 2018, Pages 1-11]
  • Excess sludge production Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants [Volume 6, Issue 4, 2018, Pages 448-455]
  • Exponential cubic B-spline Numerical studies of non-local hyperbolic partial differential equations using collocation methods [Volume 6, Issue 3, 2018, Pages 326-338]

F

  • Feed forward neural network‎ Numerical treatment for nonlinear steady flow of a third grade‎ fluid in a porous half space by neural networks optimized [Volume 6, Issue 1, 2018, Pages 53-62]
  • Finite difference Numerical studies of non-local hyperbolic partial differential equations using collocation methods [Volume 6, Issue 3, 2018, Pages 326-338]
  • Finite differences method A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon [Volume 6, Issue 1, 2018, Pages 98-110]
  • Finite element scheme A numerical approach for variable-order fractional unified chaotic systems with time-delay [Volume 6, Issue 4, 2018, Pages 396-410]
  • Fitzhugh-Nagumo(FN) equation An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations [Volume 6, Issue 3, 2018, Pages 280-294]
  • Flux limiter A total variation diminishing high resolution scheme for nonlinear conservation laws [Volume 6, Issue 4, 2018, Pages 456-470]
  • Fokker Plank equation‎ Exact solutions for Fokker-Plank equation of geometric Brownian motion with Lie point symmetries [Volume 6, Issue 3, 2018, Pages 372-379]
  • Fourth kind Chebyshev wavelets A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells [Volume 6, Issue 3, 2018, Pages 353-371]
  • Fourth-order exponential time differenceing Runge-Kutta method The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system [Volume 6, Issue 2, 2018, Pages 215-237]
  • Fractional derivative Discretization of a fractional order ratio-dependent functional response predator-prey model, bifurcation and chaos [Volume 6, Issue 2, 2018, Pages 248-265]
  • Fractional differential equations An efficient extension of the Chebyshev cardinal functions for differential equations with coordinate derivatives of non-integer order [Volume 6, Issue 3, 2018, Pages 339-352]
  • Fractional order Matrix Mittag-Leffler functions of fractional nabla calculus [Volume 6, Issue 2, 2018, Pages 128-140]
  • Fuzzy Caputo's H-differentiability Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method [Volume 6, Issue 2, 2018, Pages 186-214]

G

  • Gauss-Lobatto nodes Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants [Volume 6, Issue 4, 2018, Pages 448-455]
  • Generalized Burger-Huxley equation An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations [Volume 6, Issue 3, 2018, Pages 280-294]
  • Global iterative methods New variants of the global Krylov type methods for linear systems with multiple right-hand sides arising in elliptic PDEs [Volume 6, Issue 2, 2018, Pages 111-127]

H

  • Heat and advection-diffusion equations Space-time radial basis function collocation method for one-dimensional advection-diffusion problem [Volume 6, Issue 4, 2018, Pages 426-437]
  • High resolution schemes A total variation diminishing high resolution scheme for nonlinear conservation laws [Volume 6, Issue 4, 2018, Pages 456-470]
  • HIV model A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells [Volume 6, Issue 3, 2018, Pages 353-371]
  • Homotopy perturbation method Homotopy perturbation method for eigenvalues of non-definite Sturm-Liouville problem [Volume 6, Issue 4, 2018, Pages 501-507]
  • Hopf Bifurcation Center manifold analysis and Hopf bifurcation of within-host virus model [Volume 6, Issue 3, 2018, Pages 266-279]

I

  • Invasion A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon [Volume 6, Issue 1, 2018, Pages 98-110]
  • Inverse nodal problem Inverse nodal problem for p-Laplacian with two potential functions [Volume 6, Issue 1, 2018, Pages 19-29]

L

  • L2-Transform L2-transforms for boundary value problems [Volume 6, Issue 2, 2018, Pages 176-185]
  • Laplace transform L2-transforms for boundary value problems [Volume 6, Issue 2, 2018, Pages 176-185]
  • Legendre polynomials Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations [Volume 6, Issue 1, 2018, Pages 80-97]
  • Legendre polynomials A numerical technique for solving a class of 2D variational problems using Legendre spectral method [Volume 6, Issue 4, 2018, Pages 471-482]
  • Local and global stability Center manifold analysis and Hopf bifurcation of within-host virus model [Volume 6, Issue 3, 2018, Pages 266-279]

M

  • Matrix Krylov subspaces New variants of the global Krylov type methods for linear systems with multiple right-hand sides arising in elliptic PDEs [Volume 6, Issue 2, 2018, Pages 111-127]
  • Meshless method Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method [Volume 6, Issue 2, 2018, Pages 186-214]
  • Meshless method The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system [Volume 6, Issue 2, 2018, Pages 215-237]
  • Mittag-Leffler function Exact solutions of a linear fractional partial differential equation via characteristics method [Volume 6, Issue 1, 2018, Pages 12-18]
  • Mittag-Leffler function Matrix Mittag-Leffler functions of fractional nabla calculus [Volume 6, Issue 2, 2018, Pages 128-140]
  • Multiple right-hand sides New variants of the global Krylov type methods for linear systems with multiple right-hand sides arising in elliptic PDEs [Volume 6, Issue 2, 2018, Pages 111-127]
  • Multiquadric collo- cation method A method based on the meshless approach for singularly perturbed differential-difference equations with Boundary layers [Volume 6, Issue 3, 2018, Pages 295-311]
  • Multi-scale method‎ Numerical solution of nonlinear SPDEs using a multi-scale method [Volume 6, Issue 2, 2018, Pages 157-175]

N

  • Nabla difference Matrix Mittag-Leffler functions of fractional nabla calculus [Volume 6, Issue 2, 2018, Pages 128-140]
  • Non-algebraic Hamiltonian An extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system [Volume 6, Issue 4, 2018, Pages 438-447]
  • Nonlinear conservation laws A total variation diminishing high resolution scheme for nonlinear conservation laws [Volume 6, Issue 4, 2018, Pages 456-470]
  • Non symmetric linear systems New variants of the global Krylov type methods for linear systems with multiple right-hand sides arising in elliptic PDEs [Volume 6, Issue 2, 2018, Pages 111-127]
  • Numerical scheme European and American put valuation via a high-order semi-discretization scheme [Volume 6, Issue 1, 2018, Pages 63-79]

O

  • Operational matrix of integration Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations [Volume 6, Issue 1, 2018, Pages 80-97]
  • Optimal control Solving optimal control problems by PSO-SVM [Volume 6, Issue 3, 2018, Pages 312-325]
  • Option pricing European and American put valuation via a high-order semi-discretization scheme [Volume 6, Issue 1, 2018, Pages 63-79]

P

  • Partial differential equation Space-time radial basis function collocation method for one-dimensional advection-diffusion problem [Volume 6, Issue 4, 2018, Pages 426-437]
  • Partial integro-differential equation Numerical solution of Convection-Diffusion equations with memory term based on sinc method [Volume 6, Issue 3, 2018, Pages 380-395]
  • P-Laplacian operator Inverse nodal problem for p-Laplacian with two potential functions [Volume 6, Issue 1, 2018, Pages 19-29]
  • Post-Widder transform L2-transforms for boundary value problems [Volume 6, Issue 2, 2018, Pages 176-185]
  • Product trapezoidal integration rule Numerical solution of Convection-Diffusion equations with memory term based on sinc method [Volume 6, Issue 3, 2018, Pages 380-395]
  • Prufer substitution Inverse nodal problem for p-Laplacian with two potential functions [Volume 6, Issue 1, 2018, Pages 19-29]
  • Pseudospectral method An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations [Volume 6, Issue 3, 2018, Pages 280-294]
  • Put option European and American put valuation via a high-order semi-discretization scheme [Volume 6, Issue 1, 2018, Pages 63-79]

Q

  • Q‎‎uasilinearization ‎technique N‎umerical ‎q‎uasilinearization scheme ‎for the integral equation form of the Blasius equation [Volume 6, Issue 2, 2018, Pages 141-156]
  • Quintic B-spline Numerical studies of non-local hyperbolic partial differential equations using collocation methods [Volume 6, Issue 3, 2018, Pages 326-338]

R

  • Radial basis function A method based on the meshless approach for singularly perturbed differential-difference equations with Boundary layers [Volume 6, Issue 3, 2018, Pages 295-311]
  • Radial basis functions Space-time radial basis function collocation method for one-dimensional advection-diffusion problem [Volume 6, Issue 4, 2018, Pages 426-437]
  • Ratio-dependent functional response model Discretization of a fractional order ratio-dependent functional response predator-prey model, bifurcation and chaos [Volume 6, Issue 2, 2018, Pages 248-265]
  • Rational Chebyshev functions Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder [Volume 6, Issue 4, 2018, Pages 483-500]
  • RBF collocation A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon [Volume 6, Issue 1, 2018, Pages 98-110]
  • RBF collocation Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method [Volume 6, Issue 2, 2018, Pages 186-214]
  • Reaction-diffusion A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon [Volume 6, Issue 1, 2018, Pages 98-110]
  • Reproduction number Center manifold analysis and Hopf bifurcation of within-host virus model [Volume 6, Issue 3, 2018, Pages 266-279]
  • Riemann-Liouville fractional derivative On asymptotic stability of Weber fractional differential systems [Volume 6, Issue 1, 2018, Pages 30-39]
  • Ritz method A numerical technique for solving a class of 2D variational problems using Legendre spectral method [Volume 6, Issue 4, 2018, Pages 471-482]

S

  • Schrodinger-Boussinesq system The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system [Volume 6, Issue 2, 2018, Pages 215-237]
  • Semi-discretization European and American put valuation via a high-order semi-discretization scheme [Volume 6, Issue 1, 2018, Pages 63-79]
  • Sinc Collocation method Numerical solution of Convection-Diffusion equations with memory term based on sinc method [Volume 6, Issue 3, 2018, Pages 380-395]
  • Singular boundary value problem A novel technique for a class of singular boundary value problems [Volume 6, Issue 1, 2018, Pages 40-52]
  • Singular integral equations Solving singular integral equations by using orthogonal polynomials [Volume 6, Issue 4, 2018, Pages 411-425]
  • Smoothed particle hydrodynamic method The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system [Volume 6, Issue 2, 2018, Pages 215-237]
  • Space-time fractional differential equations Solving nonlinear space-time fractional differential equations via ansatz method [Volume 6, Issue 1, 2018, Pages 1-11]
  • Spectral radius Matrix Mittag-Leffler functions of fractional nabla calculus [Volume 6, Issue 2, 2018, Pages 128-140]
  • Stagnation point Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder [Volume 6, Issue 4, 2018, Pages 483-500]
  • Stochastic integrals Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations [Volume 6, Issue 1, 2018, Pages 80-97]
  • Sturm-Liouville Homotopy perturbation method for eigenvalues of non-definite Sturm-Liouville problem [Volume 6, Issue 4, 2018, Pages 501-507]
  • Support vector machines Solving optimal control problems by PSO-SVM [Volume 6, Issue 3, 2018, Pages 312-325]

T

  • The fractional Bagley Torvik equation Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method [Volume 6, Issue 2, 2018, Pages 186-214]
  • Thin plate splines Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method [Volume 6, Issue 2, 2018, Pages 186-214]
  • Total variation diminishing A total variation diminishing high resolution scheme for nonlinear conservation laws [Volume 6, Issue 4, 2018, Pages 456-470]
  • Turning point Homotopy perturbation method for eigenvalues of non-definite Sturm-Liouville problem [Volume 6, Issue 4, 2018, Pages 501-507]

U

  • Unified chaotic systems A numerical approach for variable-order fractional unified chaotic systems with time-delay [Volume 6, Issue 4, 2018, Pages 396-410]

V

W

  • Wave equation Numerical studies of non-local hyperbolic partial differential equations using collocation methods [Volume 6, Issue 3, 2018, Pages 326-338]
  • Wavelet Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations [Volume 6, Issue 1, 2018, Pages 80-97]
  • Weber fractional derivative On asymptotic stability of Weber fractional differential systems [Volume 6, Issue 1, 2018, Pages 30-39]
  • Within-host virus model Center manifold analysis and Hopf bifurcation of within-host virus model [Volume 6, Issue 3, 2018, Pages 266-279]