A New Approach for Solving Singularly Perturbed Boundary Value Problems by Using Exponential Spline Method

Ahmed R. Khlefha ^*1

¹Department of Mathematics, College of Education, University of Sumer, Thi-Qar, Iraq.

Abstract

This article presents the development of families of approaches for numerically solving singularly perturbed two-point boundary-value problems using exponential spline functions. The proposed approaches exhibit second-order and fourth-order accuracy and are suitable for both singular and non-singular problem scenarios. Numerical data are presented to demonstrate the efficacy of our methodologies and are compared with those proposed by various writers.

Keywords: Exponential spline functions; boundary value problems, absolute errors; Convergence Analysis.