This paper is dedicated to the derivation and analysis of a Schwarz waveform relaxation
domain decomposition method for solving time-dependent linear/nonlinear space fractional …

In the paper, the conservative Fourier spectral scheme is presented for the coupled
Schrödinger–Boussinesq equations. We apply the Fourier collocation scheme to spatial …

For the past few years, scalar auxiliary variable (SAV) and SAV-type approaches became
very hot and efficient methods to simulate various gradient flows. Inspired by the new SAV …

本文基于算子分裂方法, 提出了求解分数阶Gray-Scott 模型的一种高效数值逼近格式.
首先采用算子分裂法将原问题分解为线性子问题和非线性子问题: 线性子问题采用Crank …

In this study, we propose the concept of compatibility between a fractional-order differential
equation (FDE) and an integer-order one. For a given FDE, we obtain integer-order …

A conformal multi-symplectic method has been proposed for the damped Korteweg–de Vries
(DKdV) equation, which is based on the conformal multi-symplectic structure. By using the …

In this paper, we have developed an efficient volume penalization based diffuse-filtering
scheme to solve variable mobility based Cahn–Hilliard equation in complex geometries. The …

An implicit variable-step BDF2 scheme is established for solving the space fractional Cahn-
Hilliard equation derived from a gradient flow in the negative order Sobolev space H− α …

The multigrid-reduction-in-time (MGRIT) technique has proven to be successful in achieving
higher run-time speedup by exploiting parallelism in time. The goal of this article is to …

In this paper, we give an efficient numerical method for the nonlinear coupled space
fractional Klein‐Gordon‐Schrödinger (NCSFKGS) equations, based on the Crank‐Nicolson …