Shooting Method via Taylor Series for Solving Two Point Boundary Value Problem on an Infinite Interval

A modified method of finding a guess for the starting point in the shooting method was applied to third order two point boundary value problems in an infinite domain. The Boundary Value Problems (BVPS) in the infinite domain were reduced to Initial Value Problems (IVPS) to the original differential equations. The systems of equations obtained were solved iteratively using Taylor series method of order nine. The initial guess obtained for each problem and the usage of Taylor series allow for quick convergence. The results obtained were compared with those obtained in the literature and they were found to be better.