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Title: | Quadratic B-spline collocation method for two-parameter singularly perturbed problem on exponentially graded mesh |
Authors: | Kumar, Devendra |
Keywords: | Mathematics Singularly perturbed parabolic problems Two-parameter Exponentially graded mesh Quadratic B-spline collocation method |
Issue Date: | Mar-2021 |
Publisher: | Taylor & Francis |
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. |
URI: | https://www.tandfonline.com/doi/full/10.1080/00207160.2021.1901277 http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/10964 |
Appears in Collections: | Department of Mathematics |
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