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

Yiming Chen; Mingxu Yi; Chunxiao Yu

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

机译：Haar小波方法求解分数阶微分方程数值解的误差分析

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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.

机译：本文通过误差分析给出了一个精确的上限，以解决变系数分数阶微分方程的数值解。分数阶微分方程使用Haar小波求解。从确切的上限，我们可以轻松得出结论，该方法是收敛的。最后，我们还给出了一些数值例子来证明该方法的有效性和适用性。

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来源
《Journal of computational science》 |2012年第5期|p.367-373|共7页
作者
Yiming Chen; Mingxu Yi; Chunxiao Yu;
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作者单位

College of Sciences, Yanshan University, Qinhuangdao 066004, Hebei, China;

College of Sciences, Yanshan University, Qinhuangdao 066004, Hebei, China;

College of Sciences, Yanshan University, Qinhuangdao 066004, Hebei, China;

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原文格式 PDF
正文语种 eng
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关键词
upper bound; error analysis; fractional differential equation; variable coefficient; haar wavelets; operational matrix;

机译：上限错误分析;分数阶微分方程可变系数哈尔小波;运算矩阵;

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7. Haar Wavelet Matrices for the Numerical Solutions of Differential Equations [O] . Sangeeta Arora, Yadwinder Singh Brar, Sheo Kumar 2015

机译：微分方程数值解的Haar小波矩阵

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

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