A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method
Keyword(s):
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.
2013 ◽
Vol 2013
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pp. 1-6
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2015 ◽
Vol 2015
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pp. 1-10
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2012 ◽
Vol 15
(3)
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