A Chebyshev spectral method for solving Riemann-Liouville fractional boundary value problems

被引：18

作者：

Graef, John R. ^{[1
]}

Kong, Lingju ^{[1
]}

Wang, Min ^{[1
]}

机构：

[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 241卷

关键词：

Chebyshev polynomials; Collocation method; Riemann-Liouville fractional calculus; Boundary value problems; POSITIVE SOLUTIONS; OPERATIONAL MATRIX; EXISTENCE;

D O I：

10.1016/j.amc.2014.05.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors derive a series of explicit formulas to approximate the Riemann-Liouville derivative and integral of arbitrary order by shifted Chebyshev polynomials. This is then applied to solve boundary value problems involving Riemann-Liouville derivatives. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：140 / 150

页数：11

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