This work formulates two kinds of alternating direction implicit (ADI) schemes for the
parabolic-type three-dimensional evolution equation with a weakly singular kernel. The …

In this paper, a second-order scheme with nonuniform time meshes for Caputo–Hadamard
fractional sub-diffusion equations with initial singularity is investigated. Firstly, a Taylor-like …

In this paper, mathematical analysis and numerical methods for Caputo-Hadamard fractional
diffusion-wave equations with initial singularity are investigated. By adopting the modified …

In this paper, we construct a high order difference scheme for two-dimensional semilinear
fractional sub-diffusion equations at first. To reduce the computation time, an efficient time …

In this paper, we study the numerical method for time-fractional KdV–Burgers' equation with
initial singularity. The famous L 2-1 σ formula on graded meshes is adopted to approximate …

In this paper, a fully-discrete alternating direction implicit (ADI) difference method is
proposed for solving three-dimensional (3D) fractional subdiffusion equations with variable …

This paper proposes a Crank-Nicolson alternating direction implicit (CN-ADI) finite
difference scheme for solving the three-dimensional nonlocal evolution equation with multi …

The paper constructs a fast efficient numerical scheme for the nonlocal evolution equation
with three weakly singular kernels in three-dimensional space. In the temporal direction, We …

Using the Grünwald difference operator one reduces the inverse boundary value problem of
the multi-term time-fractional integro-differential equation (TFIDE) in two dimensions to a …

In this article, we develop a computational technique for solving the nonlinear time-fractional
one and two-dimensional partial integro-differential equation with a weakly singular kernel …