Variational Iteration Method for Analytical Solution of the Lane-Emden Type Equation with Singular Initial and Boundary Conditions
Journal Title: Earthline Journal of Mathematical Sciences - Year 2019, Vol 2, Issue 1
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.
Authors and Affiliations
Muhammad Nadeem, Hijaz Ahmad
Keywords
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- EP ID EP557763
- DOI 10.34198/ejms.2119.127142
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