A representation of the exact solution of generalized Lane-Emden equations using a new analytical method

Omar Abu Arqub, Ahmad El-Ajou, A. Sami Bataineh, Ishak Hashim

Research output: Contribution to journalArticle

52 Citations (Scopus)

Abstract

A new analytic method is applied to singular initial-value Lane-Emden-type problems, and the effectiveness and performance of the method is studied. The proposed method obtains a Taylor expansion of the solution, and when the solution is polynomial, our method reproduces the exact solution. It is observed that the method is easy to implement, valuable for handling singular phenomena, yields excellent results at a minimum computational cost, and requires less time. Computational results of several test problems are presented to demonstrate the viability and practical usefulness of the method. The results reveal that the method is very effective, straightforward, and simple.

Original languageEnglish
Article number378593
JournalAbstract and Applied Analysis
Volume2013
DOIs
Publication statusPublished - 2013

Fingerprint

Lane-Emden Equation
Generalized Equation
Analytical Methods
Exact Solution
Polynomials
Costs
Polynomial Methods
Taylor Expansion
Viability
Test Problems
Computational Results
Computational Cost
Demonstrate

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

A representation of the exact solution of generalized Lane-Emden equations using a new analytical method. / Abu Arqub, Omar; El-Ajou, Ahmad; Bataineh, A. Sami; Hashim, Ishak.

In: Abstract and Applied Analysis, Vol. 2013, 378593, 2013.

Research output: Contribution to journalArticle

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