On the Laplace Homotopy Analysis Method for a Nonlinear System of Second-Order Boundary Value Problems

In this paper, we present an efficient algorithm for solving system of second-order boundary value problems(BVPs) based on a combination of the Laplace transform and homotopy analysis method(HAM). The proposed technique finds the solution without any discretization or any restrictive assumptions. The solution is produces in form of a rapid convergent series. The results of the numerical examples considered show that the proposed method is applicable and efficient.