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Zbl 1235.65107
Yang, Changqing; Hou, Jianhua
A numerical method for Lane-Emden equations using hybrid functions and the collocation method. (English)
[J] J. Appl. Math. 2012, Article ID 316534, 9 p. (2012). ISSN 1110-757X; ISSN 1687-0042/e

Summary: 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.

MSC 2000:: *65L99 Numerical methods for ODE
34A34 Nonlinear ODE and systems, general

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Zentralblatt MATH Berlin [Germany]