Abstract

In this paper, we use the modified variation of parameters method, which is an elegant coupling of variation of parameters method and Adomian’s decomposition method, for solving the solution system of nonlinear boundary value problems associated with obstacle, contact and unilateral problems. The results are calculated in terms of series with easily computable components. The suggested method is applied without any discretization, transformation and restrictive assumptions. To illustrate the implementation and efficiency of the proposed method, an example is given.

Key words: Variation of parameters method, Adomian’s polynomials, system of nonlinear boundary value problems.