Numerical Solution of Non-Linear Prey-Predator System using Finite Elements Method
A non-linear prey-predator system solved numerically by Galerkin method, and we compare these results with the results of Pius Peter Nyaanga[6] who used finite difference methods, we found that Galerkin finite elements method is faster than finite difference method to reach equilibrium state where t...
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| Format: | Article |
| Language: | English |
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Mosul University
2007-12-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_164020_820bc1fae0be259b449f02d0b56c4abd.pdf |
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| _version_ | 1850208314905853952 |
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| author | Saad Manaa Ahmed Qasem |
| author_facet | Saad Manaa Ahmed Qasem |
| author_sort | Saad Manaa |
| collection | DOAJ |
| description | A non-linear prey-predator system solved numerically by Galerkin method, and we compare these results with the results of Pius Peter Nyaanga[6] who used finite difference methods, we found that Galerkin finite elements method is faster than finite difference method to reach equilibrium state where the density for the prey and the predator are equals for all the values for and , also we found that Galerkin method converges towards the steady state solutions faster than finite difference method with less steps in time. |
| format | Article |
| id | doaj-art-98fa122927b14b6483cd47c8bca61dfd |
| institution | OA Journals |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2007-12-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-98fa122927b14b6483cd47c8bca61dfd2025-08-20T02:10:16ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902007-12-014211313310.33899/csmj.2007.164020164020Numerical Solution of Non-Linear Prey-Predator System using Finite Elements MethodSaad Manaa0Ahmed Qasem1College of Computer sciences and Mathematics University of Mosul, IraqCollege of Computer sciences and Mathematics University of Mosul, IraqA non-linear prey-predator system solved numerically by Galerkin method, and we compare these results with the results of Pius Peter Nyaanga[6] who used finite difference methods, we found that Galerkin finite elements method is faster than finite difference method to reach equilibrium state where the density for the prey and the predator are equals for all the values for and , also we found that Galerkin method converges towards the steady state solutions faster than finite difference method with less steps in time.https://csmj.mosuljournals.com/article_164020_820bc1fae0be259b449f02d0b56c4abd.pdfprey-predator systemgalerkin methodfinite difference methods |
| spellingShingle | Saad Manaa Ahmed Qasem Numerical Solution of Non-Linear Prey-Predator System using Finite Elements Method Al-Rafidain Journal of Computer Sciences and Mathematics prey-predator system galerkin method finite difference methods |
| title | Numerical Solution of Non-Linear Prey-Predator System using Finite Elements Method |
| title_full | Numerical Solution of Non-Linear Prey-Predator System using Finite Elements Method |
| title_fullStr | Numerical Solution of Non-Linear Prey-Predator System using Finite Elements Method |
| title_full_unstemmed | Numerical Solution of Non-Linear Prey-Predator System using Finite Elements Method |
| title_short | Numerical Solution of Non-Linear Prey-Predator System using Finite Elements Method |
| title_sort | numerical solution of non linear prey predator system using finite elements method |
| topic | prey-predator system galerkin method finite difference methods |
| url | https://csmj.mosuljournals.com/article_164020_820bc1fae0be259b449f02d0b56c4abd.pdf |
| work_keys_str_mv | AT saadmanaa numericalsolutionofnonlinearpreypredatorsystemusingfiniteelementsmethod AT ahmedqasem numericalsolutionofnonlinearpreypredatorsystemusingfiniteelementsmethod |