Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives
We propose a powerful iteration scheme for solving analytically a class of partial equations with mixed derivatives. Our approach is based upon the Lagrange multiplier in two-dimensional spaces. The local convergence and uniqueness of the proposed method are analyzed. In order to demonstrate the app...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/369304 |
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| _version_ | 1849467603834109952 |
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| author | Abdon Atangana Suares Clovis Oukouomi Noutchie |
| author_facet | Abdon Atangana Suares Clovis Oukouomi Noutchie |
| author_sort | Abdon Atangana |
| collection | DOAJ |
| description | We propose a powerful iteration scheme for solving analytically a class of partial equations with mixed derivatives. Our approach is based upon the Lagrange multiplier in two-dimensional spaces. The local convergence and uniqueness of the proposed method are analyzed. In order to demonstrate the applicability of our method, we present an algorithm to compute the solution for two examples. |
| format | Article |
| id | doaj-art-e01268408228474b883e856bb2e34402 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e01268408228474b883e856bb2e344022025-08-20T03:26:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/369304369304Novel Approach for Dealing with Partial Differential Equations with Mixed DerivativesAbdon Atangana0Suares Clovis Oukouomi Noutchie1Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9301, South AfricaDepartment of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South AfricaWe propose a powerful iteration scheme for solving analytically a class of partial equations with mixed derivatives. Our approach is based upon the Lagrange multiplier in two-dimensional spaces. The local convergence and uniqueness of the proposed method are analyzed. In order to demonstrate the applicability of our method, we present an algorithm to compute the solution for two examples.http://dx.doi.org/10.1155/2014/369304 |
| spellingShingle | Abdon Atangana Suares Clovis Oukouomi Noutchie Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives Abstract and Applied Analysis |
| title | Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives |
| title_full | Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives |
| title_fullStr | Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives |
| title_full_unstemmed | Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives |
| title_short | Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives |
| title_sort | novel approach for dealing with partial differential equations with mixed derivatives |
| url | http://dx.doi.org/10.1155/2014/369304 |
| work_keys_str_mv | AT abdonatangana novelapproachfordealingwithpartialdifferentialequationswithmixedderivatives AT suaresclovisoukouominoutchie novelapproachfordealingwithpartialdifferentialequationswithmixedderivatives |