Application of Shooting Method and Finite Difference Method in Providing Solution to Two Boundaries Value Problems

This paper investigates the efficacy of the shooting method and finite difference method in the numerical solution of two point boundary value non linear problems. The difficulty in providing exact solutions to two point boundary value problems via analytical methods necessitated the study. The shooting method which utilizes the Runge-Kutta method as integrator provides us with a better approximation to the solution than the finite difference method which utilizes second order, central difference scheme in solving two point boundary value problems (ODEs) of non-linear type with Dirichlet boundary conditions