Iqbal, Mudassar and Nooraini, Zainuddin and Hanita, Daud and Kanan, Ramani and Rahimah, Jusoh and Ullah, Atta and Khan, Ilyas Kareem (2024) Numerical solution of heat equation using modified cubic B-spline collocation method. Journal of Advanced Research in Numerical Heat Transfer, 20 (1). pp. 23-35. ISSN 2735-0142. (Published)
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Abstract
In this paper, a collocation method is presented based on the Modified Cubic B-spline Method (MCBSM) for the numerical solution of the heat equation. The PDE is fully discretized by using the Modified Cubic B-spline basis collocation for spatial discretization and the finite difference method is used for the time discretization. A numerical example from PDE is used to evaluate the accuracy of the proposed method. The numerical results are evaluated in comparison to the exact solutions. The findings consistently indicate that the suggested technique provides good error estimates. We also discovered that our proposed method was unconditionally stable. Hence, based on the results and the efficiency of the method, the method is suitable for solving heat equation.
| Item Type: | Article |
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| Additional Information: | Indexed by Scopus |
| Uncontrolled Keywords: | Collocation Method; Error Analysis; Heat Equation; Modified Cubic B-Spline Method; Numerical Solutions; Partial Differential Equations |
| Subjects: | Q Science > QA Mathematics |
| Faculty/Division: | Center for Mathematical Science |
| Depositing User: | Miss Amelia Binti Hasan |
| Date Deposited: | 06 Aug 2024 08:13 |
| Last Modified: | 06 Aug 2024 08:13 |
| URI: | http://umpir.ump.edu.my/id/eprint/42188 |
| Download Statistic: | View Download Statistics |
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