Analyzing Similarity Solution of Modified Fisher Equation
In this paper, we first examine the type of structure of the solutions to the modified form of a nonlinear Fisher’s reaction-diffusion equation. The existence of the traveling wave solution to the equation in the long term is observed by using dynamical system theory and exhibiting a phase space ana...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/6806906 |
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| _version_ | 1832554735810379776 |
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| author | Esen Hanaç Duruk Mehmet Emir Koksal Ram Jiwari |
| author_facet | Esen Hanaç Duruk Mehmet Emir Koksal Ram Jiwari |
| author_sort | Esen Hanaç Duruk |
| collection | DOAJ |
| description | In this paper, we first examine the type of structure of the solutions to the modified form of a nonlinear Fisher’s reaction-diffusion equation. The existence of the traveling wave solution to the equation in the long term is observed by using dynamical system theory and exhibiting a phase space analysis of its stable points. In parallel, we represent radial basis functions (RBFs)-based differential quadrature methods (DQMs) to close the solution of the equation. The stability analysis of the recommended method is demonstrated. Some initial-boundary value problems are considered test problems. The numerical results indicate extremely exact and stable initial and boundary conditions in the same domain with dissimilar time ranges. |
| format | Article |
| id | doaj-art-d58dd326d39343459b78314eb6cbdfdb |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d58dd326d39343459b78314eb6cbdfdb2025-02-03T05:50:41ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/6806906Analyzing Similarity Solution of Modified Fisher EquationEsen Hanaç Duruk0Mehmet Emir Koksal1Ram Jiwari2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, we first examine the type of structure of the solutions to the modified form of a nonlinear Fisher’s reaction-diffusion equation. The existence of the traveling wave solution to the equation in the long term is observed by using dynamical system theory and exhibiting a phase space analysis of its stable points. In parallel, we represent radial basis functions (RBFs)-based differential quadrature methods (DQMs) to close the solution of the equation. The stability analysis of the recommended method is demonstrated. Some initial-boundary value problems are considered test problems. The numerical results indicate extremely exact and stable initial and boundary conditions in the same domain with dissimilar time ranges.http://dx.doi.org/10.1155/2022/6806906 |
| spellingShingle | Esen Hanaç Duruk Mehmet Emir Koksal Ram Jiwari Analyzing Similarity Solution of Modified Fisher Equation Journal of Mathematics |
| title | Analyzing Similarity Solution of Modified Fisher Equation |
| title_full | Analyzing Similarity Solution of Modified Fisher Equation |
| title_fullStr | Analyzing Similarity Solution of Modified Fisher Equation |
| title_full_unstemmed | Analyzing Similarity Solution of Modified Fisher Equation |
| title_short | Analyzing Similarity Solution of Modified Fisher Equation |
| title_sort | analyzing similarity solution of modified fisher equation |
| url | http://dx.doi.org/10.1155/2022/6806906 |
| work_keys_str_mv | AT esenhanacduruk analyzingsimilaritysolutionofmodifiedfisherequation AT mehmetemirkoksal analyzingsimilaritysolutionofmodifiedfisherequation AT ramjiwari analyzingsimilaritysolutionofmodifiedfisherequation |