A Numerical Scheme For Semilinear Singularly Perturbed Reaction-Diffusion Problems
In this study we investigated the singularly perturbed boundary value problems for semilinear reaction-difussion equations. We have introduced a basic and computational approach scheme based on Numerov’s type on uniform mesh. We indicated that the method is uniformly convergence, according to the di...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2020-03-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amns.2020.1.00038 |
| _version_ | 1811272312642600960 |
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| author | Yamac Kerem Erdogan Fevzi |
| author_facet | Yamac Kerem Erdogan Fevzi |
| author_sort | Yamac Kerem |
| collection | DOAJ |
| description | In this study we investigated the singularly perturbed boundary value problems for semilinear reaction-difussion equations. We have introduced a basic and computational approach scheme based on Numerov’s type on uniform mesh. We indicated that the method is uniformly convergence, according to the discrete maximum norm, independently of the parameter of ɛ. The proposed method was supported by numerical example. |
| first_indexed | 2024-04-12T22:37:59Z |
| format | Article |
| id | doaj.art-37eebe1206754e16bb7b635dca05763a |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-04-12T22:37:59Z |
| publishDate | 2020-03-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-37eebe1206754e16bb7b635dca05763a2022-12-22T03:13:48ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562020-03-015140541210.2478/amns.2020.1.00038A Numerical Scheme For Semilinear Singularly Perturbed Reaction-Diffusion ProblemsYamac Kerem0Erdogan Fevzi1Dep. of Mathematics and Science Education, Van Yuzuncu Yil University, VanDepartment of Mathematics, Van Yuzuncu Yil University, VanTurkeyIn this study we investigated the singularly perturbed boundary value problems for semilinear reaction-difussion equations. We have introduced a basic and computational approach scheme based on Numerov’s type on uniform mesh. We indicated that the method is uniformly convergence, according to the discrete maximum norm, independently of the parameter of ɛ. The proposed method was supported by numerical example.https://doi.org/10.2478/amns.2020.1.00038singular perturbationsreaction-diffusion problemsnumerov method65l1065l1165l12 |
| spellingShingle | Yamac Kerem Erdogan Fevzi A Numerical Scheme For Semilinear Singularly Perturbed Reaction-Diffusion Problems Applied Mathematics and Nonlinear Sciences singular perturbations reaction-diffusion problems numerov method 65l10 65l11 65l12 |
| title | A Numerical Scheme For Semilinear Singularly Perturbed Reaction-Diffusion Problems |
| title_full | A Numerical Scheme For Semilinear Singularly Perturbed Reaction-Diffusion Problems |
| title_fullStr | A Numerical Scheme For Semilinear Singularly Perturbed Reaction-Diffusion Problems |
| title_full_unstemmed | A Numerical Scheme For Semilinear Singularly Perturbed Reaction-Diffusion Problems |
| title_short | A Numerical Scheme For Semilinear Singularly Perturbed Reaction-Diffusion Problems |
| title_sort | numerical scheme for semilinear singularly perturbed reaction diffusion problems |
| topic | singular perturbations reaction-diffusion problems numerov method 65l10 65l11 65l12 |
| url | https://doi.org/10.2478/amns.2020.1.00038 |
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