Numerical Solutions for Volterra Integro-differential Forms of Lane-emden Equations of First and Second Kind Using Legendre Multi-wavelets
نویسندگان
چکیده
A numerical method based on Legendre multi-wavelets is applied for solving Lane-Emden equations which form Volterra integro-differential equations. The Lane-Emden equations are converted to Volterra integro-differential equations and then are solved by the Legendre multi-wavelet method. The properties of Legendre multi-wavelets are first presented. The properties of Legendre multi-wavelets are used to reduce the system of integral equations to a system of algebraic equations which can be solved by any numerical method. Illustrative examples are discussed to show the validity and applicability of the present method.
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