辽宁工程技术大学学报（自然科学版）Issue(8)：1133-1136,4.DOI:10.3969/j.issn.1008-0562.2013.08.025
小波法求解分数阶微分方程的误差估计
Error estimation of wavelet method to solve fractional differential equations
摘要
Abstract
Focusing on the problem of the numerical solution of fractional differential equations and the errors of the obtained result, this study provided the numerical solutions to a class of fractional differential equations with variable coefficient by using Haar wavelets operational matrix of fractional order integration, and transformed the initial fractional differential equations into a system of algebraic equations by using the obtained operational matrix, and then implemented the solution by software. This paper mainly discussed the error analysis of the method and have obtained the error estimation, and also proved that the method is convergent. The results show that the more points, the higher precision between the numerical solution and the exact solution. Finally, numerical example is provided to verify the validity of the method and the correctness of the theoretical analysis.关键词
Haar小波/变系数/分数阶微分方程/算子矩阵/误差分析/误差估计式/精确解/数值解Key words
Haar wavelet/variable coefficient/fractional differential equations/operational matrix/error analysis/error estimation/exact solution/numerical solution分类
数理科学引用本文复制引用
徐琳,李秀云..小波法求解分数阶微分方程的误差估计[J].辽宁工程技术大学学报（自然科学版）,2013,(8):1133-1136,4.基金项目
河北省自然科学基金资助项目 （）
