The successive approximation method and Padé approximants for solutions the non-linear boundary value problem

摘要

In this paper, we suggested an successive approximation method and Padé approximants method for the solution of the non-linear differential equation. First we calculate power series of the given equation system then transform it into Padé (approximants) series form, which give an arbitrary order for solving differential equation numerically. We compare our results with the result obtained by successive method for the non-linear equation.