ABSTRACT
In this article, we present a quadratic B-spline collocation method on an exponentially graded mesh for the solution of two-parameter singularly perturbed boundary value problems (TP-SPBVPs) whose solution exhibits twin boundary layers at both endpoints of the domain of consideration. The method is shown to be parameters uniformly convergent of order two. To verify the theoretical estimates and to show the better accuracy of the proposed method compared to the existing results, numerical experiments are presented for several test problems.
Acknowledgements
The authors thank the reviewers for the their valuable suggestions for the improvement of the work. The first two authors thank National Board for Higher Mathematics, Department of Atomic Energy, Government of India, for the financial support under project No. 2/48(33)/2016 NBHM(R.P.)/R&DII/4533 dated 31 March 2017.
Disclosure statement
No potential conflict of interest was reported by the author(s).