DefinePK

Abstract

An easy to implement FEM based collocation method is proposed to solve a special case eighth order boundary value problem. By the proposed method, numerical results can be obtained not only for the solution but also for derivatives of the solution. Ninth degree B-splines are used as basis functions to approximate the solution. These functions are changed into a set of new functions with the help of boundary conditions. The proposed method with the new set of B-splines gives a stable system of linear equation in the unknown parameters which are used to approximate the solution and its derivatives. To test the efficiency of the method, some numerical examples which are available in literature are solved using the proposed method. The obtained results are in good agreement with the exact solutions.