Residual power series method for solving nonlinear reaction-diffusion-convection problems
In this paper, the residual power series method (RPSM) is applied to one of the most frequently used models in engineering and science, a nonlinear reaction diffusion convection initial value problems. The approximate solutions using the RPSM were compared to the exact solutions and to the approxim...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2020-10-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/41741 |
| _version_ | 1797633468046245888 |
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| author | Maisa Khader Mahmoud H. DarAssi |
| author_facet | Maisa Khader Mahmoud H. DarAssi |
| author_sort | Maisa Khader |
| collection | DOAJ |
| description |
In this paper, the residual power series method (RPSM) is applied to one of the most frequently used models in engineering and science, a nonlinear reaction diffusion convection initial value problems. The approximate solutions using the RPSM were compared to the exact solutions and to the approximate solutions using the homotopy analysis method.
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| first_indexed | 2024-03-11T11:54:25Z |
| format | Article |
| id | doaj.art-04b0fe266f8a47959c57240a0055f5fc |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:54:25Z |
| publishDate | 2020-10-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-04b0fe266f8a47959c57240a0055f5fc2023-11-08T20:01:23ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882020-10-0139310.5269/bspm.41741Residual power series method for solving nonlinear reaction-diffusion-convection problemsMaisa Khader0Mahmoud H. DarAssi1Princess Sumaya University for TechnologyPrincess Sumaya University for Technology In this paper, the residual power series method (RPSM) is applied to one of the most frequently used models in engineering and science, a nonlinear reaction diffusion convection initial value problems. The approximate solutions using the RPSM were compared to the exact solutions and to the approximate solutions using the homotopy analysis method. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/41741 |
| spellingShingle | Maisa Khader Mahmoud H. DarAssi Residual power series method for solving nonlinear reaction-diffusion-convection problems Boletim da Sociedade Paranaense de Matemática |
| title | Residual power series method for solving nonlinear reaction-diffusion-convection problems |
| title_full | Residual power series method for solving nonlinear reaction-diffusion-convection problems |
| title_fullStr | Residual power series method for solving nonlinear reaction-diffusion-convection problems |
| title_full_unstemmed | Residual power series method for solving nonlinear reaction-diffusion-convection problems |
| title_short | Residual power series method for solving nonlinear reaction-diffusion-convection problems |
| title_sort | residual power series method for solving nonlinear reaction diffusion convection problems |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/41741 |
| work_keys_str_mv | AT maisakhader residualpowerseriesmethodforsolvingnonlinearreactiondiffusionconvectionproblems AT mahmoudhdarassi residualpowerseriesmethodforsolvingnonlinearreactiondiffusionconvectionproblems |