The Taylor Matrix Method for Approximate Solution of Lane-Emden Equation with index-n

Authors

Coskun Guler, Yildiz Technical University, Mathematical Engineering Department, Davutpasa Campus, 34210, Esenler, Istanbul, Turkey.Follow
Ibrahim Emiroglu
Fatih Tasci
Mustafa Sivri

Author Country (or Countries)

Turkey.

Abstract

Many problems in mathematical physics can be formulated as an equation of Lane-Emden type. There are many methods for the solution of this equation. One of these methods is the Taylor matrix method. The only types of nonlinear equations that this method has been applied so far are the Riccati and Abel equations. In this study, an algorithm based on the Taylor matrix method is proposed and applied to the nonlinear Lane-Emden equation with index-n. An example is also given.

Suggested Reviewers

N/A

Recommended Citation

Guler, Coskun; Emiroglu, Ibrahim; Tasci, Fatih; and Sivri, Mustafa (2013) "The Taylor Matrix Method for Approximate Solution of Lane-Emden Equation with index-n," Applied Mathematics & Information Sciences: Vol. 07: Iss. 4, Article 10.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss4/10