DIRECT METHODS FOR SOLVING BOUNDARY VALUE PROBLEMS

In engineering and the physical sciences the problem are modeled as boundary value problems (BVPs) is often encountered such as in heat transfer equation and boundary layer equation. Therefore many researches are studied to obtain the solution of BVPs. In the case where the BVPs is linear the analytic solution can have obtained and solved it by the analytic method. Unfortunately most of the real-world problem are modeled as nonlinear BVPs. In most cases analytic solutions to this problem are impossible to find. Even the analytic solution does exist the evaluation is often a tedious process. Therefore to obtain an approximate solution of the BVPs are currently very active areas for the researchers.