International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 61, Pages 3873-3891
doi:10.1155/S0161171203112094

Exponentially fitted spline approximation method for solving selfadjoint singular perturbation problems

Mohan K. Kadalbajoo and Kailash C. Patidar

 Department of Mathematics, Indian Institute of Technology, Kanpur 208016, India
Received 5 December 2001

Abstract

A numerical method based on cubic spline with exponential fitting factor is given for the selfadjoint singularly perturbed two-point boundary value problems. The scheme derived in this method is second-order accurate. Numerical examples are given to support the predicted theory.