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Journal of Applied Mathematics and Computation

ISSN Online: 2576-0653 ISSN Print: 2576-0645 CODEN: JAMCEZ
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ArticleOpen Access http://dx.doi.org/10.26855/jamc.2021.12.001

New Algorithm of the Optimal Homotopy Asymptotic Method for Solving Lane-Emden Equations

Haider A. Mkharrib*, Tahrier N. Salem

Mathematics Department, Faculty of Computer Science and Mathematics, University of Thi-Qar, Nasiriyah, Thi-Qar, Iraq.

*Corresponding author: Haider A. Mkharrib

Published: October 13,2021

Abstract

The objective of this paper is to get an approximate solution for Lane-emden and Emden-Fowler initial and boundary value problems. For this, we used the Optimal Homotopy Asymptotic Method (OHAM) which is a semi-analytical method. OHAM Results show the e¢gectiveness and reliability of OHAM for Lane-Emden and Emden-Fowler initial and boundary value problems. The results we obtained are compared to the exact solutions in addition to we presented a new modification of the optimal homotopy asymptotic method (NOHAM) and applied upon singular initial value Lane-Emden type equations and results are compared with the available exact solutions. The modified algorithm gives the exact solution for diffierential equations by using one iteration only.

Keywords

Optimal homotopy asymptotic method, Lane-Emden equations, singular initial value problems

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How to cite this paper

New Algorithm of the Optimal Homotopy Asymptotic Method for Solving Lane-Emden Equations

How to cite this paper: Haider A. Mkharrib, Tahrier N. Salem. (2021) New Algorithm of the Optimal Homotopy Asymptotic Method for Solving Lane-Emden EquationsJournal of Applied Mathematics and Computation5(4), 237-246.

DOI: http://dx.doi.org/10.26855/jamc.2021.12.001