AN APPROXIMATION TO A SHARP TYPE SOLUTION OF A DENSITY-DEPENDENT REACTION-DIFFUSION EQUATION
In this paper, we use a perturbation method to obtain an approximation to a saddle-saddle heteroclinic trajectory of an autonomous system of ordinary differential equations (ODEs) arising in the equation ut= [(u+εu2)ux]x+u(1-u) in the case of travelling wave solutions (t.w.s. ): u(x,t) = ∅(x-ct). We...
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| Format: | Journal article |
| Language: | English |
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1994
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| _version_ | 1797067098712702976 |
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| author | Garduno, F Maini, P |
| author_facet | Garduno, F Maini, P |
| author_sort | Garduno, F |
| collection | OXFORD |
| description | In this paper, we use a perturbation method to obtain an approximation to a saddle-saddle heteroclinic trajectory of an autonomous system of ordinary differential equations (ODEs) arising in the equation ut= [(u+εu2)ux]x+u(1-u) in the case of travelling wave solutions (t.w.s. ): u(x,t) = ∅(x-ct). We compare the approximate form of the solution profile and speed thus obtained with the actual solution of the full model and the calculated speed, respectively. © 1994. |
| first_indexed | 2024-03-06T21:51:27Z |
| format | Journal article |
| id | oxford-uuid:4b6b1e84-b9e0-416e-bfcf-21502c1c65b7 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:51:27Z |
| publishDate | 1994 |
| record_format | dspace |
| spelling | oxford-uuid:4b6b1e84-b9e0-416e-bfcf-21502c1c65b72022-03-26T15:43:27ZAN APPROXIMATION TO A SHARP TYPE SOLUTION OF A DENSITY-DEPENDENT REACTION-DIFFUSION EQUATIONJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4b6b1e84-b9e0-416e-bfcf-21502c1c65b7EnglishSymplectic Elements at Oxford1994Garduno, FMaini, PIn this paper, we use a perturbation method to obtain an approximation to a saddle-saddle heteroclinic trajectory of an autonomous system of ordinary differential equations (ODEs) arising in the equation ut= [(u+εu2)ux]x+u(1-u) in the case of travelling wave solutions (t.w.s. ): u(x,t) = ∅(x-ct). We compare the approximate form of the solution profile and speed thus obtained with the actual solution of the full model and the calculated speed, respectively. © 1994. |
| spellingShingle | Garduno, F Maini, P AN APPROXIMATION TO A SHARP TYPE SOLUTION OF A DENSITY-DEPENDENT REACTION-DIFFUSION EQUATION |
| title | AN APPROXIMATION TO A SHARP TYPE SOLUTION OF A DENSITY-DEPENDENT REACTION-DIFFUSION EQUATION |
| title_full | AN APPROXIMATION TO A SHARP TYPE SOLUTION OF A DENSITY-DEPENDENT REACTION-DIFFUSION EQUATION |
| title_fullStr | AN APPROXIMATION TO A SHARP TYPE SOLUTION OF A DENSITY-DEPENDENT REACTION-DIFFUSION EQUATION |
| title_full_unstemmed | AN APPROXIMATION TO A SHARP TYPE SOLUTION OF A DENSITY-DEPENDENT REACTION-DIFFUSION EQUATION |
| title_short | AN APPROXIMATION TO A SHARP TYPE SOLUTION OF A DENSITY-DEPENDENT REACTION-DIFFUSION EQUATION |
| title_sort | approximation to a sharp type solution of a density dependent reaction diffusion equation |
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