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...
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Taylor & Francis Group
2019-12-01
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| Series: | Journal of Taibah University for Science |
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| Online Access: | http://dx.doi.org/10.1080/16583655.2019.1612977 |
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doaj-4a64d6068e744cff87a7a6aab6f7d3ab2020-11-24T23:51:07ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552019-12-0113160461010.1080/16583655.2019.16129771612977Tension spline method for the solution of elliptic equationsHoma Zadvan0Jalil Rashidinia1Islamic Azad UniversityIslamic Azad UniversityIn 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.http://dx.doi.org/10.1080/16583655.2019.1612977elliptic partial differential equationtension spline functioniterative methodconvergence analysis |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Homa Zadvan Jalil Rashidinia |
| spellingShingle |
Homa Zadvan Jalil Rashidinia Tension spline method for the solution of elliptic equations Journal of Taibah University for Science elliptic partial differential equation tension spline function iterative method convergence analysis |
| author_facet |
Homa Zadvan Jalil Rashidinia |
| author_sort |
Homa Zadvan |
| title |
Tension spline method for the solution of elliptic equations |
| title_short |
Tension spline method for the solution of elliptic equations |
| title_full |
Tension spline method for the solution of elliptic equations |
| title_fullStr |
Tension spline method for the solution of elliptic equations |
| title_full_unstemmed |
Tension spline method for the solution of elliptic equations |
| title_sort |
tension spline method for the solution of elliptic equations |
| publisher |
Taylor & Francis Group |
| series |
Journal of Taibah University for Science |
| issn |
1658-3655 |
| publishDate |
2019-12-01 |
| description |
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. |
| topic |
elliptic partial differential equation tension spline function iterative method convergence analysis |
| url |
http://dx.doi.org/10.1080/16583655.2019.1612977 |
| work_keys_str_mv |
AT homazadvan tensionsplinemethodforthesolutionofellipticequations AT jalilrashidinia tensionsplinemethodforthesolutionofellipticequations |
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1725477399211016192 |