Article ID Journal Published Year Pages File Type
4635759 Applied Mathematics and Computation 2006 6 Pages PDF
Abstract

A numerical method for solving the Lane–Emden equations as singular initial value problems is presented. Using integral operator and convert Lane–Emden equations to integral equations and then applying Legendre wavelet approximations. The properties of Legendre wavelet are first presented. These properties together with the Gaussian integration method are then utilized to reduce the integral equations to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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