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A Numerical Solution of Troesch’s Problem via Optimal Homotopy Asymptotic Method

by M. Khalid, Mariam Sultana, Faheem Zaidi, Aurangzaib
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 140 - Number 5
Year of Publication: 2016
Authors: M. Khalid, Mariam Sultana, Faheem Zaidi, Aurangzaib
10.5120/ijca2016909315

M. Khalid, Mariam Sultana, Faheem Zaidi, Aurangzaib . A Numerical Solution of Troesch’s Problem via Optimal Homotopy Asymptotic Method. International Journal of Computer Applications. 140, 5 ( April 2016), 1-5. DOI=10.5120/ijca2016909315

@article{ 10.5120/ijca2016909315,
author = { M. Khalid, Mariam Sultana, Faheem Zaidi, Aurangzaib },
title = { A Numerical Solution of Troesch’s Problem via Optimal Homotopy Asymptotic Method },
journal = { International Journal of Computer Applications },
issue_date = { April 2016 },
volume = { 140 },
number = { 5 },
month = { April },
year = { 2016 },
issn = { 0975-8887 },
pages = { 1-5 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume140/number5/24587-2016909315/ },
doi = { 10.5120/ijca2016909315 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:41:26.692866+05:30
%A M. Khalid
%A Mariam Sultana
%A Faheem Zaidi
%A Aurangzaib
%T A Numerical Solution of Troesch’s Problem via Optimal Homotopy Asymptotic Method
%J International Journal of Computer Applications
%@ 0975-8887
%V 140
%N 5
%P 1-5
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Troesch’s problem arose while the investigation of the confinement of a plasma column by applying radiation pressure was being conducted. It is an unstable problem in itself, with a two-point boundary value. The application of the Optimal Homotopy Asymptotic Method (OHAM) is used to attain an approximate solution for the nonlinear differential equation which provides and apt description of Troesch’s problem. Opposing the other reported results, through the variational iteration method, Laplace Transform Decomposition Method, Homotopy Analysis Method, and the Homotopy Perturbation Method, the accuracy of the current solution is commendable for a remarkably wide range of values of Troesch’s parameter. A conducted error analysis clearly admits the efficiency of OHAM.

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Index Terms

Computer Science
Information Sciences

Keywords

Troesch’s Problem Optimal Homotopy Asymptotic Method Troesch’s Parameter Highest Degree of Accuracy

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