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Haar Wavelet Matrices for the Numerical Solutions of Differential Equations

by Sangeeta Arora, Yadwinder Singh Brar, Sheo Kumar
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 97 - Number 18
Year of Publication: 2014
Authors: Sangeeta Arora, Yadwinder Singh Brar, Sheo Kumar
10.5120/17108-7759

Sangeeta Arora, Yadwinder Singh Brar, Sheo Kumar . Haar Wavelet Matrices for the Numerical Solutions of Differential Equations. International Journal of Computer Applications. 97, 18 ( July 2014), 33-36. DOI=10.5120/17108-7759

@article{ 10.5120/17108-7759,
author = { Sangeeta Arora, Yadwinder Singh Brar, Sheo Kumar },
title = { Haar Wavelet Matrices for the Numerical Solutions of Differential Equations },
journal = { International Journal of Computer Applications },
issue_date = { July 2014 },
volume = { 97 },
number = { 18 },
month = { July },
year = { 2014 },
issn = { 0975-8887 },
pages = { 33-36 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume97/number18/17108-7759/ },
doi = { 10.5120/17108-7759 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:24:28.836423+05:30
%A Sangeeta Arora
%A Yadwinder Singh Brar
%A Sheo Kumar
%T Haar Wavelet Matrices for the Numerical Solutions of Differential Equations
%J International Journal of Computer Applications
%@ 0975-8887
%V 97
%N 18
%P 33-36
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Haar Wavelets has become important tool for solving number of problems of science and engineering. In this paper a computational scheme is implemented using Haar matrices to find the numerical solution of differential equations with known initial and boundary conditions. We also presented exact solution, numerical solution and absolute error. Numerical experiments presented here are comparable with the available data. The algorithm used in this is very simple and easy to implement.

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Index Terms

Computer Science
Information Sciences

Keywords

Haar wavelets Haar functions Operational matrix Differential equation.