Numerical Treatment of Fourth Order Self-Adjoint Singularly Perturbed Boundary Value Problems via Septic B-Spline Method
Abstract
- In this communication, A septic B-spline method (SBSM) is descrived for numerical treatment of fourth order self adjoint (FOSA) singularly perturbed boundary value problems (SPBVPs) and method is directly implemented on the problems without decreasing the order of the original differential equations. Convergence of the SBSM is proved and found that it gives 4th order convergence results. The present technique is applied on two numerical problems which supports the theoretical proofs .