Keyword Index

A

  • Adomian Decomposition Method Solving The Stefan Problem with Kinetics [Volume 2, Issue 1, 2014, Pages 37-49]
  • Advection-diffusion reaction equation Positivity-preserving nonstandard finite difference Schemes for simulation of advection-diffusion reaction equations [Volume 2, Issue 4, 2014, Pages 256-267]
  • Asymptotic distribution Asymptotic distributions of Neumann problem for Sturm-Liouville equation [Volume 2, Issue 1, 2014, Pages 19-25]

B

C

  • Calculus of variation An analytic study on the Euler-Lagrange equation arising in calculus of variations [Volume 2, Issue 3, 2014, Pages 140-152]
  • Caputo derivative Analytical solutions for the fractional Klein-Gordon equation [Volume 2, Issue 2, 2014, Pages 99-114]
  • Caputo fractional derivative Numerical solution for boundary value problem of fractional order with approximate Integral and derivative [Volume 2, Issue 3, 2014, Pages 195-204]
  • Caputo's fractional derivative Inverse Laplace transform method for multiple solutions of the fractional Sturm-Liouville problems [Volume 2, Issue 1, 2014, Pages 56-61]
  • Cauchy type The Legendre Wavelet Method for Solving Singular Integro-differential Equations [Volume 2, Issue 2, 2014, Pages 62-68]
  • Complex nonlinear wave equations The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations [Volume 2, Issue 4, 2014, Pages 216-226]
  • Conservation law A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws [Volume 2, Issue 2, 2014, Pages 91-98]

D

E

  • Eigenparameter dependent condition Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions [Volume 2, Issue 3, 2014, Pages 123-139]
  • Euler-Lagrange equation An analytic study on the Euler-Lagrange equation arising in calculus of variations [Volume 2, Issue 3, 2014, Pages 140-152]
  • European option pricing problem European option pricing of fractional Black-Scholes model with new Lagrange multipliers [Volume 2, Issue 1, 2014, Pages 1-10]
  • Exact solution Exact solutions of distinct physical structures to the fractional potential Kadomtsev-Petviashvili equation [Volume 2, Issue 1, 2014, Pages 26-36]
  • Exact solution Topological soliton solutions of the some nonlinear partial differential equations [Volume 2, Issue 4, 2014, Pages 227-242]
  • Exact solutions Exact solutions of the 2D Ginzburg-Landau equation by the first integral method [Volume 2, Issue 2, 2014, Pages 69-76]
  • Exact solutions A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics [Volume 2, Issue 3, 2014, Pages 153-170]
  • Exact solutions The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations [Volume 2, Issue 4, 2014, Pages 216-226]
  • Extended homogeneous balance method The extended homogeneous balance method and exact solutions of the Maccari system [Volume 2, Issue 2, 2014, Pages 83-90]

F

  • First integral method Exact solutions of the 2D Ginzburg-Landau equation by the first integral method [Volume 2, Issue 2, 2014, Pages 69-76]
  • Fixed point theorems Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems [Volume 2, Issue 4, 2014, Pages 205-215]
  • Fractional Black- Scholes equation European option pricing of fractional Black-Scholes model with new Lagrange multipliers [Volume 2, Issue 1, 2014, Pages 1-10]
  • Fractional differential equations Exact solutions of distinct physical structures to the fractional potential Kadomtsev-Petviashvili equation [Volume 2, Issue 1, 2014, Pages 26-36]
  • Fractional differential equations Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems [Volume 2, Issue 4, 2014, Pages 205-215]
  • Fractional Klein-Gordon equation Analytical solutions for the fractional Klein-Gordon equation [Volume 2, Issue 2, 2014, Pages 99-114]
  • Fractional Sturm-Liouville problem Inverse Laplace transform method for multiple solutions of the fractional Sturm-Liouville problems [Volume 2, Issue 1, 2014, Pages 56-61]
  • Fractional sub-equation method A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics [Volume 2, Issue 3, 2014, Pages 153-170]

G

  • Green's function Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions [Volume 2, Issue 3, 2014, Pages 123-139]

H

  • Haar product matrix Numerical inversion of Laplace transform via wavelet in ordinary differential equations [Volume 2, Issue 3, 2014, Pages 186-194]
  • Haar wavelet Numerical inversion of Laplace transform via wavelet in ordinary differential equations [Volume 2, Issue 3, 2014, Pages 186-194]
  • Homogeneous balance method New study to construct new solitary wave solutions for generalized sinh- Gordon equation [Volume 2, Issue 2, 2014, Pages 77-82]
  • Homogeneous balance method Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation [Volume 2, Issue 2, 2014, Pages 115-122]
  • Homotopy perturbation method Asymptotic distributions of Neumann problem for Sturm-Liouville equation [Volume 2, Issue 1, 2014, Pages 19-25]
  • Homotopy perturbation method Solving The Stefan Problem with Kinetics [Volume 2, Issue 1, 2014, Pages 37-49]

I

  • Integro-differential equations Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations [Volume 2, Issue 4, 2014, Pages 268-282]
  • Inverse Laplace transform Numerical inversion of Laplace transform via wavelet in ordinary differential equations [Volume 2, Issue 3, 2014, Pages 186-194]
  • Inverse Sturm-Liouville problem Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions [Volume 2, Issue 3, 2014, Pages 123-139]

J

  • Jump conditions Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions [Volume 2, Issue 3, 2014, Pages 123-139]

K

  • Kudryashov method Application of the Kudryashov method and the functional variable method for the complex KdV equation [Volume 2, Issue 1, 2014, Pages 50-55]
  • Kundu-Eckhaus equation Exact travelling wave solutions for some complex nonlinear partial differential equations [Volume 2, Issue 1, 2014, Pages 11-18]

L

  • Lane-Emden equations New Solutions for Singular Lane-Emden Equations Arising in Astrophysics Based on Shifted Ultraspherical Operational Matrices of Derivatives [Volume 2, Issue 3, 2014, Pages 171-185]
  • Laplace transform Inverse Laplace transform method for multiple solutions of the fractional Sturm-Liouville problems [Volume 2, Issue 1, 2014, Pages 56-61]
  • Legendre wavelet The Legendre Wavelet Method for Solving Singular Integro-differential Equations [Volume 2, Issue 2, 2014, Pages 62-68]

M

  • Maccari system The extended homogeneous balance method and exact solutions of the Maccari system [Volume 2, Issue 2, 2014, Pages 83-90]
  • Method of separating variables Analytical solutions for the fractional Klein-Gordon equation [Volume 2, Issue 2, 2014, Pages 99-114]
  • Mittag-Leffler Analytical solutions for the fractional Klein-Gordon equation [Volume 2, Issue 2, 2014, Pages 99-114]
  • M-matrix Positivity-preserving nonstandard finite difference Schemes for simulation of advection-diffusion reaction equations [Volume 2, Issue 4, 2014, Pages 256-267]

N

  • Nondefinite problem Asymptotic distributions of Neumann problem for Sturm-Liouville equation [Volume 2, Issue 1, 2014, Pages 19-25]
  • Nonlocal approximation A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws [Volume 2, Issue 2, 2014, Pages 91-98]
  • Nonstandard finite differences Positivity-preserving nonstandard finite difference Schemes for simulation of advection-diffusion reaction equations [Volume 2, Issue 4, 2014, Pages 256-267]
  • Nonstandard finite difference scheme A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws [Volume 2, Issue 2, 2014, Pages 91-98]

O

  • Operational matrix of integration Numerical inversion of Laplace transform via wavelet in ordinary differential equations [Volume 2, Issue 3, 2014, Pages 186-194]
  • Optimal control problem‎ Generalized B-spline functions ‎method‎‎ for solving optimal control problems [Volume 2, Issue 4, 2014, Pages 243-255]

P

  • Periodic-like solution The extended homogeneous balance method and exact solutions of the Maccari system [Volume 2, Issue 2, 2014, Pages 83-90]
  • P-Laplacian operator Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems [Volume 2, Issue 4, 2014, Pages 205-215]

R

  • Riccati equation The extended homogeneous balance method and exact solutions of the Maccari system [Volume 2, Issue 2, 2014, Pages 83-90]
  • Riemann-Liouville fractional derivative Numerical solution for boundary value problem of fractional order with approximate Integral and derivative [Volume 2, Issue 3, 2014, Pages 195-204]

S

  • Singular integro-differential equation The Legendre Wavelet Method for Solving Singular Integro-differential Equations [Volume 2, Issue 2, 2014, Pages 62-68]
  • Solitary wave solution New study to construct new solitary wave solutions for generalized sinh- Gordon equation [Volume 2, Issue 2, 2014, Pages 77-82]
  • Solitary wave solutions Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation [Volume 2, Issue 2, 2014, Pages 115-122]
  • Soliton-like solution The extended homogeneous balance method and exact solutions of the Maccari system [Volume 2, Issue 2, 2014, Pages 83-90]
  • Sturm-Liouville Asymptotic distributions of Neumann problem for Sturm-Liouville equation [Volume 2, Issue 1, 2014, Pages 19-25]
  • Sumudu transforms European option pricing of fractional Black-Scholes model with new Lagrange multipliers [Volume 2, Issue 1, 2014, Pages 1-10]

T

  • Three point boundary conditions Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems [Volume 2, Issue 4, 2014, Pages 205-215]
  • Total variation diminishing A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws [Volume 2, Issue 2, 2014, Pages 91-98]
  • Transformation operator Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions [Volume 2, Issue 3, 2014, Pages 123-139]

U

  • Ultraspherical polynomials New Solutions for Singular Lane-Emden Equations Arising in Astrophysics Based on Shifted Ultraspherical Operational Matrices of Derivatives [Volume 2, Issue 3, 2014, Pages 171-185]

V

  • Variational problems An analytic study on the Euler-Lagrange equation arising in calculus of variations [Volume 2, Issue 3, 2014, Pages 140-152]