[PDF][PDF] A review of the Adomian decomposition method and its applications to fractional differential equations
In this article we review the Adomian decomposition method (ADM) and its modifications
including different modified and parametrized recursion schemes, the multistage ADM for …
including different modified and parametrized recursion schemes, the multistage ADM for …
The third kind Chebyshev wavelets collocation method for solving the time-fractional convection diffusion equations with variable coefficients
F Zhou, X Xu - Applied Mathematics and Computation, 2016 - Elsevier
In this paper, a numerical method based on the third kind Chebyshev wavelets is proposed
for solving a class of time-fractional convection diffusion equations with variable coefficients …
for solving a class of time-fractional convection diffusion equations with variable coefficients …
A method based on the Jacobi tau approximation for solving multi-term time–space fractional partial differential equations
In this paper, we propose and analyze an efficient operational formulation of spectral tau
method for multi-term time–space fractional differential equation with Dirichlet boundary …
method for multi-term time–space fractional differential equation with Dirichlet boundary …
Numerical solution of two-dimensional stochastic time-fractional Sine–Gordon equation on non-rectangular domains using finite difference and meshfree methods
Abstract The nonlinear Sine-Gordon equation is one of the widely used partial differential
equations that appears in various sciences and engineering. The main purpose of writing …
equations that appears in various sciences and engineering. The main purpose of writing …
Numerical solution for the variable order linear cable equation with Bernstein polynomials
Y Chen, L Liu, B Li, Y Sun - Applied Mathematics and Computation, 2014 - Elsevier
In this paper, Bernstein polynomials method is proposed for the numerical solution of a class
of variable order fractional linear cable equation. In this paper, we adopted Bernstein …
of variable order fractional linear cable equation. In this paper, we adopted Bernstein …
An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein–Gordon equations
In this paper, we propose a numerical method for the solution of time fractional nonlinear
sine-Gordon equation that appears extensively in classical lattice dynamics in the continuum …
sine-Gordon equation that appears extensively in classical lattice dynamics in the continuum …
[HTML][HTML] Efficient sustainable algorithm for numerical solutions of systems of fractional order differential equations by Haar wavelet collocation method
This manuscript deals a numerical technique based on Haar wavelet collocation which is
developed for the approximate solution of some systems of linear and nonlinear fractional …
developed for the approximate solution of some systems of linear and nonlinear fractional …
Fast iterative method with a second-order implicit difference scheme for time-space fractional convection–diffusion equation
In this paper we intend to establish fast numerical approaches to solve a class of initial-
boundary problem of time-space fractional convection–diffusion equations. We present a …
boundary problem of time-space fractional convection–diffusion equations. We present a …
Combination of finite difference method and meshless method based on radial basis functions to solve fractional stochastic advection–diffusion equations
The present article develops a semi-discrete numerical scheme to solve the time-fractional
stochastic advection–diffusion equations. This method, which is based on finite difference …
stochastic advection–diffusion equations. This method, which is based on finite difference …
[HTML][HTML] Application of the collocation method for solving nonlinear fractional integro-differential equations
In this paper, using the collocation method we solve the nonlinear fractional integro-
differential equations (NFIDE) of the form: f (t, y (t), a CD t α 0 y (t),…, a CD t α ry (t))= λ G (t, y …
differential equations (NFIDE) of the form: f (t, y (t), a CD t α 0 y (t),…, a CD t α ry (t))= λ G (t, y …