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, a fast linearized conservative finite element method is studied for solving the
strongly coupled nonlinear fractional Schrödinger equations. We prove that the scheme …

The time-fractional heat equation governed by nonlocal conditions is solved using a novel
method developed in this study, which is based on the spectral tau method. There are two …

The main aim of this paper is to apply the Galerkin finite element method to numerically
solve the nonlinear fractional Schrödinger equation with wave operator. We first construct a …

Image deblurring is an important pre-processing step in image analysis. The research for
efficient image deblurring methods is still a great challenge. Most of the currently used …

In this paper, we consider the nonconforming virtual element method (VEM) for the
approximation of the time fractional reaction–subdiffusion equation involving the Caputo …

An implicit difference scheme with the truncation of order 2− α (0< α< 1) for time and order 2
for space is considered for the one-dimensional time-fractional Burgers equations. The L 1 …

Recently, numerous numerical schemes have been developed for solving single-term time-
space fractional diffusion-wave equations. Among them, some popular methods were …

Nanoscale systems occupy the most important place among the vehicles intended for
targeted drug delivery. Such vehicles are considered in this review. Attention is paid to the …

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 …