In this work, we consider an α-robust high-order numerical method for the time fractional
nonlinear Korteweg-de Vries (KdV) equation. The time fractional derivatives are discretized …

A finite difference/spectral method is proposed for the numerical approximation of a
distributed order time fractional diffusion equation with initial singularity on two dimensional …

A time fractional initial boundary value problem of mixed parabolic–elliptic type is
considered. The domain of such problem is divided into two subdomains. A reaction …

Fractional Langevin equation describes the evolution of physical phenomena in fluctuating
environments for the complex media systems. It is a sequential fractional differential …

A time-fractional initial–boundary problem is considered on a bounded spatial domain Ω⊂
R d, where d∈{1, 2, 3} and Ω is convex or smooth. The differential equation is∑ i= 1 lqi D t α …

The aim of this paper is to design and analyze a robust fully discrete scheme based on cubic
splines for numerically solving a time-fractional reaction–diffusion equation (TFRDE) with …

A discrete comparison principle is given for the multi-term time fractional diffusion equation,
where the discrete scheme is based on L1 approximation of the multi-term temporal Caputo …

The main aim of this work is to construct an efficient recursive numerical technique for
solving multi-term time fractional nonlinear KdV equation. The fractional derivatives are …

We consider the local error estimate of the L1 scheme on graded mesh for a linearized time
fractional KdV equation with weakly singular solutions, where Legendre Petrov–Galerkin …

A finite difference method for numerically solving the initial boundary value problem of
distributed order sub-diffusion equations with weakly singular solutions is presented, where …