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[HTML][HTML] Stable numerical results to a class of time-space fractional partial differential equations via spectral method
In this paper, we are concerned with finding numerical solutions to the class of time–space
fractional partial differential equations: D tpu (t, x)+ κ D xpu (t, x)+ τ u (t, x)= g (t, x), 1< p< 2,(t …
fractional partial differential equations: D tpu (t, x)+ κ D xpu (t, x)+ τ u (t, x)= g (t, x), 1< p< 2,(t …
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 …
A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
In this paper, an efficient and accurate spectral numerical method is presented for solving
second-, fourth-order fractional diffusion-wave equations and fractional wave equations with …
second-, fourth-order fractional diffusion-wave equations and fractional wave equations with …
[HTML][HTML] Numerical solution of time-and space-fractional coupled Burgers' equations via homotopy algorithm
In this paper, we constitute a homotopy algorithm basically extension of homotopy analysis
method with Laplace transform, namely q-homotopy analysis transform method to solve time …
method with Laplace transform, namely q-homotopy analysis transform method to solve time …
Finite difference method for solving fractional differential equations at irregular meshes
This paper presents a novel meshless technique for solving a class of fractional differential
equations based on moving least squares and on the existence of a fractional Taylor series …
equations based on moving least squares and on the existence of a fractional Taylor series …
The Sinc–Legendre collocation method for a class of fractional convection–diffusion equations with variable coefficients
This paper deals with the numerical solution of classes of fractional convection–diffusion
equations with variable coefficients. The fractional derivatives are described based on the …
equations with variable coefficients. The fractional derivatives are described based on the …
A fourth-order approximation of fractional derivatives with its applications
A new fourth-order difference approximation is derived for the space fractional derivatives by
using the weighted average of the shifted Grünwald formulae combining the compact …
using the weighted average of the shifted Grünwald formulae combining the compact …
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 …
Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative
An epidemic system of HIV/AIDS transmission is examined in this paper. The classical time
derivative is modelled with the Atangana-Baleanu nonlocal and nonsingular fractional …
derivative is modelled with the Atangana-Baleanu nonlocal and nonsingular fractional …