Efficient Numerical Solution of the Multi-Term Time Fractional Diffusion-Wave Equation

被引：58

作者：

Ren, Jincheng ^{[1
]}

Sun, Zhi-Zhong ^{[2
]}

机构：

[1] Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450000, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

来源：

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2015年 / 5卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Multi-term time fractional diffusion-wave equation; compact difference scheme; discrete energy method; convergence; DIFFERENCE-SCHEMES; ACCURACY;

D O I：

10.4208/eajam.080714.031114a

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some efficient numerical schemes are proposed to solve one-dimensional and two-dimensional multi-term time fractional diffusion-wave equation, by combining the compact difference approach for the spatial discretisation and an L1 approximation for the multi-term time Caputo fractional derivatives. The unconditional stability and global convergence of these schemes are proved rigorously, and several applications testify to their efficiency and confirm the orders of convergence.

引用

页码：1 / 28

页数：28

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