A Difference Scheme with Intrinsic Parallelism for Fractional Diffusion-wave Equation with Damping

被引：1
|
作者：
Li-Fei WU [1 ]
Xiao-Zhong YANG [1 ]
Min LI [1 ]
机构：
[1] School of Mathematics and Physics, North China Electric Power University
来源：
ActaMathematicaeApplicataeSinica | 2021年 / 37卷 / 03期
基金：
中央高校基本科研业务费专项资金资助;
关键词：
time fractional diffusion-wave equation with damping; intrinsic parallelism; ASC-N scheme; stability; parallel computing;
D O I：
暂无
中图分类号：
O241.3 [插值法];
学科分类号：
摘要：
Anomalous diffusion is a widespread physical phenomenon, and numerical methods of fractional diffusion models are of important scientific significance and engineering application value. For time fractional diffusion-wave equation with damping, a difference(ASC-N, alternating segment Crank-Nicolson) scheme with intrinsic parallelism is proposed. Based on alternating technology, the ASC-N scheme is constructed with four kinds of Saul’yev asymmetric schemes and Crank-Nicolson(C-N) scheme. The unconditional stability and convergence are rigorously analyzed. The theoretical analysis and numerical experiments show that the ASC-N scheme is effective for solving time fractional diffusion-wave equation.
引用
收藏
页码：602 / 616
页数：15
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