Solution of a class of fourth order singular singularly perturbed boundary value problems by quintic B-spline method

Abstract

In this paper, quintic B-spline method is described for solving a class of fourth order singular singularly perturbed boundary value problems. This method is applied directly to the solution of the problems without reducing the order of the problems. The convergence analysis is also given and the method is shown to have uniform convergence of the second order. Numerical results are shown which demonstrate the efficiency of our method.