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

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

Date: October 13,2021 |Hits: 360 Download PDF How to cite this paper

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

### 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 eÂ˘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.

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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

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