Error analysis for numerical solution of fractional differential equation by Haar wavelets method

被引：88

作者：

Chen, Yiming ^{[1
]}

Yi, Mingxu ^{[1
]}

Yu, Chunxiao ^{[1
]}

机构：

[1] Yanshan Univ, Coll Sci, Qinhuangdao 066004, Hebei, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL SCIENCE | 2012年 / 3卷 / 05期

关键词：

Upper bound; Error analysis; Fractional differential equation; Variable coefficient; Haar wavelets; Operational matrix; UNIQUENESS; EXISTENCE;

D O I：

10.1016/j.jocs.2012.04.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, an exact upper bound is presented through the error analysis to solve the numerical solution of fractional differential equation with variable coefficient. The fractional differential equation is solved by using Haar wavelets. From the exact upper bound, we can draw a conclusion easily that the method is convergent. Finally, we also give some numerical examples to demonstrate the validity and applicability of the method. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：367 / 373

页数：7

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