Orthogonal spline collocation scheme for the multi-term time-fractional diffusion equation

被引：23
|
作者：
Qiao, Leijie [1 ]
Xu, Da [1 ]
机构：
[1] Hunan Normal Univ, Coll Math & Comp Sci, Minist Educ China, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2018年 / 95卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Multi-term time-fractional diffusion equation; orthogonal spline collocation method; stability; convergence rates; numerical experiments; DIAGONAL LINEAR-SYSTEMS; FINITE-ELEMENT-METHOD; BOUNDARY-VALUE-PROBLEMS; MODIFIED ALTERNATE ROW; INTEGRODIFFERENTIAL EQUATIONS; COLUMN ELIMINATION; FORTRAN PACKAGES; APPROXIMATIONS; ALGORITHMS;
D O I：
10.1080/00207160.2017.1324150
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A novel numerical technique is considered for the solution of a multi-term time-fractional diffusion equation. The orthogonal spline collocation method is used for in space, and a finite difference method in time. The stability and convergence are provided. The numerical experiments for one and two dimensional problems support our theoretical analysis.
引用
收藏
页码：1478 / 1493
页数：16
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