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.
| Published in | Pure and Applied Mathematics Journal (Volume 6, Issue 1) |
| DOI | 10.11648/j.pamj.20170601.17 |
| Page(s) | 51-58 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
Cubic B-spline, Collocation Method, Heat Equation, Linear Partial Differential Equation
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APA Style
Mohamed Hassan Khabir, Rahma Abdullah Farah. (2017). Cubic B-spline Collocation Method for One-Dimensional Heat Equation. Pure and Applied Mathematics Journal, 6(1), 51-58. https://doi.org/10.11648/j.pamj.20170601.17
ACS Style
Mohamed Hassan Khabir; Rahma Abdullah Farah. Cubic B-spline Collocation Method for One-Dimensional Heat Equation. Pure Appl. Math. J. 2017, 6(1), 51-58. doi: 10.11648/j.pamj.20170601.17
AMA Style
Mohamed Hassan Khabir, Rahma Abdullah Farah. Cubic B-spline Collocation Method for One-Dimensional Heat Equation. Pure Appl Math J. 2017;6(1):51-58. doi: 10.11648/j.pamj.20170601.17
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Download@article{10.11648/j.pamj.20170601.17,
author = {Mohamed Hassan Khabir and Rahma Abdullah Farah},
title = {Cubic B-spline Collocation Method for One-Dimensional Heat Equation},
journal = {Pure and Applied Mathematics Journal},
volume = {6},
number = {1},
pages = {51-58},
doi = {10.11648/j.pamj.20170601.17},
url = {https://doi.org/10.11648/j.pamj.20170601.17},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20170601.17},
abstract = {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.},
year = {2017}
}
TY - JOUR T1 - Cubic B-spline Collocation Method for One-Dimensional Heat Equation AU - Mohamed Hassan Khabir AU - Rahma Abdullah Farah Y1 - 2017/03/04 PY - 2017 N1 - https://doi.org/10.11648/j.pamj.20170601.17 DO - 10.11648/j.pamj.20170601.17 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 51 EP - 58 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20170601.17 AB - 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. VL - 6 IS - 1 ER -
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