Abstract.

This work aimed at developing a new algorithm for solving nonlinear boundary value problems (BVPs) of a new type. The problem studied here differs from the classical BVPs in that it contains supplementary impulsive conditions (ICs) at an interior point of interaction. Naturally, impulsive boundary value problems (IBVPs) are much more difficult to solve than classical BVPs ones, since the known analytic and numerical methods are designed to solve BVPs without ICs. Based on famous Adomian Decomposition Method (ADM), we developed a new algoritm for solving IBVPs for second order differential equations with nonlinearities.

Keywords:

two-linked BVPs, Adomian decomposition method, impulsive conditions, nonlinear differential equations.