Tension spline method for the solution of elliptic equations
In this paper, two classes of methods are developed for the solution of two-dimensional elliptic partial differential equations. We have used tension spline function approximation in both x and y spatial directions and a new scheme of order $O(h^4 + k^4) $ has been obtained. The convergence analysis...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2019-12-01
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| Series: | Journal of Taibah University for Science |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/16583655.2019.1612977 |
| Summary: | In this paper, two classes of methods are developed for the solution of two-dimensional elliptic partial differential equations. We have used tension spline function approximation in both x and y spatial directions and a new scheme of order $O(h^4 + k^4) $ has been obtained. The convergence analysis of the methods has been carried out. Numerical examples are given to illustrate the applicability and accurate nature of our approach. |
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| ISSN: | 1658-3655 |