Orthogonal spline collocation method for the two-dimensional time fractional mobile-immobile equation

被引：4

作者：

Qiao, Leijie ^{[2
]}

Xu, Da ^{[3
]}

Wang, Zhibo ^{[1
]}

机构：

[1] Guangdong Univ Technol, Sch Math & Stat, Guangzhou 510006, Guangdong, Peoples R China

[2] Changsha Univ Sci & Technol, Coll Math Stat, Changsha 410114, Hunan, Peoples R China

[3] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2022年 / 68卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Multi-term fractional mobile-immobile equation; Orthogonal spline collocation method; Stability; Convergence; Numerical examples; INTEGRODIFFERENTIAL EQUATION; EVOLUTION EQUATION; SCHEME; APPROXIMATIONS;

D O I：

10.1007/s12190-021-01661-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to find the numerical solution of two-dimensional multi-term time fractional mobile-immobile equation. The proposed technique is based on the arbitrary-order orthogonal spline collocation method for the spatial discretization, the L1 approximation for the Caputo fractional derivative, and a second-order backward differentiation formula in time. The stability and convergence are proved in detail. Then, the convergence analysis is validated by a number of numerical experiments.

引用

页码：3199 / 3217

页数：19

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