A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

作     者：Emadidin Gahalla Mohmed Elmahdi Sadia Arshad Jianfei Huang 

作者机构：College of Mathematical SciencesYangzhou UniversityYangzhouJiangsu 225002China Faculty of EducationUniversity of KhartoumKhartoum P.O.Box 321Sudan COMSATS University IslamabadLahore CampusPakistan 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2024年第16卷第1期

页      面：146-163页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by Natural Science Foundation of Jiangsu Province of China(Grant No.BK20201427) National Natural Science Foundation of China(Grant Nos.11701502 and 11871065) 

主　　题：Fractional nonlinear diffusion-wave equations finite difference method fourth-order compact operator stability convergence 

摘      要：In this paper,we present a linearized compact difference scheme for onedimensional time-space fractional nonlinear diffusion-wave equations with initial boundary value *** initial singularity of the solution is considered,which often generates a singular source and increases the difficulty of numerically solving the *** Crank-Nicolson technique,combined with the midpoint formula and the second-order convolution quadrature formula,is used for the time *** increase the spatial accuracy,a fourth-order compact difference approximation,which is constructed by two compact difference operators,is adopted for spatial ***,the unconditional stability and convergence of the proposed scheme are strictly established with superlinear convergence accuracy in time and fourth-order accuracy in ***,numerical experiments are given to support our theoretical results.