An efficient approach for solving a class of nonlinear 2D parabolic PDEs
We consider a class of nonlinear 2D parabolic equations that allow for an efficient application of an operator splitting technique and a suitable linearization of the discretized problem. We apply our scheme to study the finite extinction phenomenon for the porous-medium equation with strong absorpt...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204211218 |
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| _version_ | 1832548870493569024 |
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| author | Dongjin Kim Wlodek Proskurowski |
| author_facet | Dongjin Kim Wlodek Proskurowski |
| author_sort | Dongjin Kim |
| collection | DOAJ |
| description | We consider a class of nonlinear 2D parabolic equations that allow for an efficient application of an operator splitting technique and a suitable linearization of the discretized problem. We apply our scheme to study the finite extinction phenomenon for the porous-medium equation with strong absorption. A comparison of accuracy and computational efficiency of the resulting algorithms for several test problems is presented. |
| format | Article |
| id | doaj-art-2b239dfd4a3f4b24b371cb7d24b80070 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2b239dfd4a3f4b24b371cb7d24b800702025-02-03T06:12:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-0120041788189910.1155/S0161171204211218An efficient approach for solving a class of nonlinear 2D parabolic PDEsDongjin Kim0Wlodek Proskurowski1Department of Mathematics, University of Southern California, Los Angeles 90089-1113, CA, USADepartment of Mathematics, University of Southern California, Los Angeles 90089-1113, CA, USAWe consider a class of nonlinear 2D parabolic equations that allow for an efficient application of an operator splitting technique and a suitable linearization of the discretized problem. We apply our scheme to study the finite extinction phenomenon for the porous-medium equation with strong absorption. A comparison of accuracy and computational efficiency of the resulting algorithms for several test problems is presented.http://dx.doi.org/10.1155/S0161171204211218 |
| spellingShingle | Dongjin Kim Wlodek Proskurowski An efficient approach for solving a class of nonlinear 2D parabolic PDEs International Journal of Mathematics and Mathematical Sciences |
| title | An efficient approach for solving a class of nonlinear 2D parabolic PDEs |
| title_full | An efficient approach for solving a class of nonlinear 2D parabolic PDEs |
| title_fullStr | An efficient approach for solving a class of nonlinear 2D parabolic PDEs |
| title_full_unstemmed | An efficient approach for solving a class of nonlinear 2D parabolic PDEs |
| title_short | An efficient approach for solving a class of nonlinear 2D parabolic PDEs |
| title_sort | efficient approach for solving a class of nonlinear 2d parabolic pdes |
| url | http://dx.doi.org/10.1155/S0161171204211218 |
| work_keys_str_mv | AT dongjinkim anefficientapproachforsolvingaclassofnonlinear2dparabolicpdes AT wlodekproskurowski anefficientapproachforsolvingaclassofnonlinear2dparabolicpdes AT dongjinkim efficientapproachforsolvingaclassofnonlinear2dparabolicpdes AT wlodekproskurowski efficientapproachforsolvingaclassofnonlinear2dparabolicpdes |