Solutions of Singular IVP’s of Lane-Emden type by Homotopy analysis method with Genetic Algorithm

Authors

Waleed Al-Hayani, Department of Mathematics, Department of Software Engineering, College of Computer Science and Mathematics, University of Mosul, Iraq.Follow
Laheeb Alzubaidy, Department of Mathematics, Department of Software Engineering, College of Computer Science and Mathematics, University of Mosul, Iraq.Follow
Ahmed Entesar, Department of Mathematics, Department of Software Engineering, College of Computer Science and Mathematics, University of Mosul, Iraq.Follow

Author Country (or Countries)

Iraq.

Abstract

In this paper, Homotopy Analysis Method with Genetic Algorithm is presented and used for solving Lane-Emden type singular initial value problems. The method is demonstrated for a variety of problems where approximate-exact solutions are obtained. The results obtained in all cases show the reliability and the efficiency of this method

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110208

Recommended Citation

Al-Hayani, Waleed; Alzubaidy, Laheeb; and Entesar, Ahmed (2017) "Solutions of Singular IVP’s of Lane-Emden type by Homotopy analysis method with Genetic Algorithm," Applied Mathematics & Information Sciences: Vol. 11: Iss. 2, Article 8.
DOI: http://dx.doi.org/10.18576/amis/110208
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss2/8