In this paper we develop a unified difference-spectral method for stably solving time-space fractional sub-diffusion and super-diffusion equations.

In this paper we develop a unified difference-spectral method for stably solving time–space fractional sub-diffusion and super-diffusion equations. Based on the ...

A unified difference-spectral method for stably solving time–space fractional sub-diffusions and super-diffusion equations is developed by combining the ...

Oct 24, 2016 · Chen et al., [39] developed an approach for high-order time inte- gration within multi-domain setting for time-fractional diffusion equations.

A unified difference-spectral method for time–space fractional diffusion equations · Engineering, Mathematics. Int. J. Comput. Math. · 2017.

We present the stability and error analysis of the unified Petrov–Galerkin spectral method, developed in [1], for linear fractional partial differential ...

We propose a spectral method in both temporal and spatial discretizations for this equation. The convergence of the method is proven by providing a priori error ...

Oct 22, 2024 · A high order finite difference-spectral method is derived for solving space fractional diffusion equations, by combining the second order finite ...

Apr 16, 2019 · Abstract. A space–time Petrov–Galerkin spectral method for time fractional diffusion equations is developed in this paper.

We develop in this paper a space-time Petrov-Galerkin spectral method for linear and nonlinear time fractional diffusion equations (TFDEs) involving either a ...