A new sequential approach for solving the integro-differential equation via Haar wavelet bases

被引：0
作者：
M. Erfanian
M. Gachpazan
H. Beiglo
机构：
[1] School of Mathematical Sciences,Department of Applied Mathematics
[2] Ferdowsi University of Mashhad,undefined
来源：
Computational Mathematics and Mathematical Physics | 2017年 / 57卷
关键词：
rationalized Haar wavelet; nonlinear integro-differential equation; operational matrix; fixed point theorem; error analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, we present a method for numerical approximation of fixed point operator, particularly for the mixed Volterra–Fredholm integro-differential equations. The main tool for error analysis is the Banach fixed point theorem. The advantage of this method is that it does not use numerical integration, we use the properties of rationalized Haar wavelets for approximate of integral. The cost of our algorithm increases accuracy and reduces the calculation, considerably. Some examples are provided toillustrate its high accuracy and numerical results are compared with other methods in the other papers.
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页码：297 / 305
页数：8
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