Numerical Treatment of Fourth Order Self-Adjoint Singularly Perturbed Boundary Value Problems via Septic B-Spline Method

Authors

  • Ram Kishun Lodhi, Sonali Saini Sahu

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 .

Published

2020-11-01

Issue

Section

Articles