In this paper, an implicit robust difference method with graded meshes is constructed for the
modified Burgers model with nonlocal dynamic properties. The L1 formula on graded …

In this paper, we present a time two-grid algorithm based on the finite difference (FD)
method for the two-dimensional nonlinear time-fractional mobile/immobile transport model …

In this paper, a compact finite difference scheme is constructed and investigated for the
fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel. In the …

This paper proposes the alternating direction implicit (ADI) numerical approaches for
computing the solution of multi-dimensional distributed-order fractional integrodifferential …

The main aim of this paper is to solve the two-dimensional nonlinear fractional partial integro-
differential equation (PIDE) with a weakly singular kernel by using the time two-grid finite …

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 second-order accurate numerical method with graded meshes is proposed and analyzed
for an evolution equation with a weakly singular kernel. The graded meshes are employed …

Abstract Effects of using non-uniform magnetic field in a PCM installed 3D vented cavity
having triangular-cross section on the phase transition dynamics are numerically assessed …

In this paper, an implicit difference scheme is constructed for the fourth-order nonlinear non-
local partial integro-differential equations (PIDEs) with a weakly singular kernel. The Caputo …

In this paper, a finite difference scheme is proposed for solving the nonlinear time‐fractional
integro‐differential equation. This model involves two nonlocal terms in time, ie, a Caputo …