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A numerical method for Lane-Emden equations using hybrid functions and the collocation method. (English) Zbl 1235.65107
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:
65L99Numerical methods for ODE
34A34Nonlinear ODE and systems, general