Numerical method for a non-local boundary value problem with Caputo fractional order

被引：5

作者：

Mary, S. Joe Christin ^{[1
]}

Tamilselvan, Ayyadurai ^{[1
]}

机构：

[1] Bharathidasan Univ, Dept Math, Tiruchirappalli 620024, Tamil Nadu, India

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2021年 / 67卷 / 1-2期

关键词：

Fractional differential equation; Caputo fractional derivative; Non-local boundary value problem; Maximum principle; Finite difference scheme; Error estimate; PIECEWISE POLYNOMIAL COLLOCATION; DIFFERENTIAL-EQUATIONS;

D O I：

10.1007/s12190-021-01501-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

\ A non-local boundary value problem with Caputo fractional derivative of order 1<nu<21 is considered in this article. A numerical method comprising of an upwind difference scheme which is used to approximate the convection term and an L-2 approximation of Caputo fractional derivative on an uniform mesh is constructed. Error estimate is derived. Numerical results are presented which validate our numerical method.

引用

页码：671 / 687

页数：17

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