International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 61, Pages 3873-3891
Exponentially fitted spline approximation method for
solving selfadjoint singular perturbation problems
Department of Mathematics, Indian Institute of Technology, Kanpur 208016, India
Received 5 December 2001
Copyright © 2003 Mohan K. Kadalbajoo and Kailash C. Patidar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.