Cubic B-spline Collocation Method for One-Dimensional Heat Equation
Pure and Applied Mathematics Journal
Volume 6, Issue 1, February 2017, Pages: 51-58
Received: Nov. 26, 2016; Accepted: Jan. 16, 2017; Published: Mar. 4, 2017
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Mohamed Hassan Khabir, Department of Mathematics, Faculty of Science, Sudan University of Science & Technology, Khartoum, Sudan
Rahma Abdullah Farah, Department of Mathematics, Faculty of Science & Technology, Omdurman Islamic University, Khartoum, Sudan
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In this paper we discuss cubic B-spline collocation method. We have given the derivation of the B-spline method in general. We have applied the method for solving one-dimensional heat equation and the numerical result have been compared with the exact solution.
Cubic B-spline, Collocation Method, Heat Equation, Linear Partial Differential Equation
To cite this article
Mohamed Hassan Khabir, Rahma Abdullah Farah, Cubic B-spline Collocation Method for One-Dimensional Heat Equation, Pure and Applied Mathematics Journal. Vol. 6, No. 1, 2017, pp. 51-58. doi: 10.11648/j.pamj.20170601.17
Copyright © 2017 Authors retain the copyright of this article.
This article 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.
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