On the Numerical Solution of Tenth and Twelfth Order Boundary Value Problems Using Weighted Residual Method (WRM)

In this paper, numerical solution of tenth and twelfth order linear and non linear boundary value problems are presented using weighted residual via partition method (WRM). A trial function is assumed which is made to satisfy the boundary conditions given, and used to generate the residual to be minimised. To investigate the effectiveness of the method, numerical examples were considered which were compared with both the exact solution and the solution obtained by other methods in the literature. The proposed method proves very accurate, better, efficient and appropriate.