Solving Singular Second Order Non Linear Coupled Functional Lane- Emden Problems Using Jacobi Collo Cation Method By:

Abstract

In this thesis, the solution of a singular second order non linear coupled functional lane-Emden problem is solved by Jacobi collocation Method. Ja cobi collocation method was successfully implemented in Jacobi Polynomial and Jacobi collocation Method subjected to boundary condition relation. The Jacobi collocation method is extended to study this problem, where the deriva tives were defined in a singular second order non linear coupled functional lane-Emden problem. In examples, we give between exact and other Numer ical solution. The obtained numerical resultd reveal that the given method provides good approximation than other methods. This method provides very efficiently a series solution form with easily computable coefficients. The ob tained results show that the proposed method is very effective and convenient.