A Numerical Method for Lane‐Emden Equations Using Hybrid Functions and the Collocation Method

Changqing Yang and Jianhua Hou

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: A numerical method to solve Lane‐Emden equations as singular initial value problems is presented in this work. This method is based on the replacement of unknown functions through a truncated series of hybrid of block‐pulse functions and Chebyshev polynomials. The collocation method transforms the differential equation into a system of algebraic equations. It also has application in a wide area of differential equations. Corresponding numerical examples are presented to demonstrate the accuracy of the proposed method.

Date: 2012
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https://doi.org/10.1155/2012/316534

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:316534

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