Variational Iteration Method for Analytical Solution of the Lane-Emden Type Equation with Singular Initial and Boundary Conditions

  • Muhammad Nadeem School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
  • Hijaz Ahmad Department of Basic Sciences, University of Engineering and Technology Peshawar, Pakistan
DOI: https://doi.org/10.34198/ejms.2119.127142
Keywords: Lane-Emden problems, singular IVPs, singular BVPs, variational iteration method

Abstract

In this paper, a well-known equation used in astrophysics and mathematical physics called the Lane-Emden equation is to be solved by a variational iteration method. The main purpose of this approach is to solve the singular initial value problems and also boundary value problem of Lane-Emden type equations. This technique overcomes its singularity at origin rapidly. It gives the approximate and exact solution with easily computable terms. The approach is illustrated with some examples to show its reliability and compactness.

Published
2019-05-02
How to Cite
Nadeem, M., & Ahmad, H. (2019). Variational Iteration Method for Analytical Solution of the Lane-Emden Type Equation with Singular Initial and Boundary Conditions. Earthline Journal of Mathematical Sciences, 2(1), 127-142. https://doi.org/10.34198/ejms.2119.127142
Issue
Vol 2 No 1 (2019)
Section
Articles


This work is licensed under a Creative Commons Attribution 4.0 International License.