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Reseach Article

Solution of Initial Value Prpblem of Bratu – Type Equation using Modifications of Homotopy Perturbation Method

by Bothayna S. H. Kashkari, Sharifa S. Z. Abbas
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 162 - Number 5
Year of Publication: 2017
Authors: Bothayna S. H. Kashkari, Sharifa S. Z. Abbas
10.5120/ijca2017913311

Bothayna S. H. Kashkari, Sharifa S. Z. Abbas . Solution of Initial Value Prpblem of Bratu – Type Equation using Modifications of Homotopy Perturbation Method. International Journal of Computer Applications. 162, 5 ( Mar 2017), 44-49. DOI=10.5120/ijca2017913311

@article{ 10.5120/ijca2017913311,
author = { Bothayna S. H. Kashkari, Sharifa S. Z. Abbas },
title = { Solution of Initial Value Prpblem of Bratu – Type Equation using Modifications of Homotopy Perturbation Method },
journal = { International Journal of Computer Applications },
issue_date = { Mar 2017 },
volume = { 162 },
number = { 5 },
month = { Mar },
year = { 2017 },
issn = { 0975-8887 },
pages = { 44-49 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume162/number5/27243-2017913311/ },
doi = { 10.5120/ijca2017913311 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:08:13.786870+05:30
%A Bothayna S. H. Kashkari
%A Sharifa S. Z. Abbas
%T Solution of Initial Value Prpblem of Bratu – Type Equation using Modifications of Homotopy Perturbation Method
%J International Journal of Computer Applications
%@ 0975-8887
%V 162
%N 5
%P 44-49
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Homotopy perturbation method (HPM) is an effective method for solving nonlinear differential equations. In this paper, some modifications of this method has been proposed to initial value problem of Bratu - Type model. The combination of Laplace transform and homotopy perturbation (LHPM), the new homotopy perturbation method (NHPM) and Laplace new homotopy perturbation method (LNHPM) are applied, and the solutions are considered as an infinite series that converge rapidly to the exact solutions.

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Index Terms

Computer Science
Information Sciences

Keywords

Bratu – Type equation Homotopy perturbation method Laplace homotopy perturbation method new homotopy perturbation method Laplace new homotopy perturbation method