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

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  • Changqing Yang
  • Jianhua Hou

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.

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  • Changqing Yang & Jianhua Hou, 2012. "A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-9, February.
    • Handle: RePEc:hin:jnljam:316534
    DOI: 10.1155/2012/316534
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