Haar Wavelet Operational Matrix Method to Solve Initial Value Problems: A Short Survey

被引：0
|
作者：
Jena M.K. [1 ]
Sahu K.S. [1 ]
机构：
[1] Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Sambalpur, 768018, Odisha
来源：
International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 4期
关键词：
Differential equation; Haar wavelet; Operational matrix;
D O I：
10.1007/s40819-016-0265-5
中图分类号：
学科分类号：
摘要：
In this paper we give a short survey of Haar wavelet operational matrix method which is used to solve initial value problems up to second order, both linear and nonlinear. First we give a short review of Haar wavelet and operational matrices obtained from it. We then describe the method for linear and nonlinear ordinary differential equations both for first and second order. At the end, we provide a stability analysis and it is shown that the proposed method is of second order. © 2016, Springer India Pvt. Ltd.
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页码：3961 / 3975
页数：14
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