Computation of traveling wave fronts for a nonlinear diffusion-advection model
This paper utilizes a nonlinear reaction-diffusion-advection modelfor describing the spatiotemporal evolution of bacterial growth. Thetraveling wave solutions of the corresponding system of partialdifferential equations are analyzed. Using two methods, we then findsuch solutions numerically. One of...
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| Format: | Article |
| Language: | English |
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AIMS Press
2008-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.83 |
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| _version_ | 1832590176386285568 |
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| author | M. B. A. Mansour |
| author_facet | M. B. A. Mansour |
| author_sort | M. B. A. Mansour |
| collection | DOAJ |
| description | This paper utilizes a nonlinear reaction-diffusion-advection modelfor describing the spatiotemporal evolution of bacterial growth. Thetraveling wave solutions of the corresponding system of partialdifferential equations are analyzed. Using two methods, we then findsuch solutions numerically. One of the methods involves thetraveling wave equations and solving an initial-value problem, whichleads to accurate computations of the wave profiles and speeds. Thesecond method is to construct time-dependent solutions bysolving an initial-moving boundary-value problem for the PDE system,showing another approximation for such wave solutions. |
| format | Article |
| id | doaj-art-303e5ee9b50d4fc5bc1ef2ecddf453a1 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2008-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-303e5ee9b50d4fc5bc1ef2ecddf453a12025-01-24T01:58:53ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-11-0161839110.3934/mbe.2009.6.83Computation of traveling wave fronts for a nonlinear diffusion-advection modelM. B. A. Mansour0Department of Mathematics, Faculty of Science, South Valley University, QenThis paper utilizes a nonlinear reaction-diffusion-advection modelfor describing the spatiotemporal evolution of bacterial growth. Thetraveling wave solutions of the corresponding system of partialdifferential equations are analyzed. Using two methods, we then findsuch solutions numerically. One of the methods involves thetraveling wave equations and solving an initial-value problem, whichleads to accurate computations of the wave profiles and speeds. Thesecond method is to construct time-dependent solutions bysolving an initial-moving boundary-value problem for the PDE system,showing another approximation for such wave solutions.https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.83reaction-diffusion-advection equations; bacterial growth;traveling wave fronts; numerical approximations |
| spellingShingle | M. B. A. Mansour Computation of traveling wave fronts for a nonlinear diffusion-advection model Mathematical Biosciences and Engineering reaction-diffusion-advection equations; bacterial growth;traveling wave fronts; numerical approximations |
| title | Computation of traveling wave fronts for a nonlinear diffusion-advection model |
| title_full | Computation of traveling wave fronts for a nonlinear diffusion-advection model |
| title_fullStr | Computation of traveling wave fronts for a nonlinear diffusion-advection model |
| title_full_unstemmed | Computation of traveling wave fronts for a nonlinear diffusion-advection model |
| title_short | Computation of traveling wave fronts for a nonlinear diffusion-advection model |
| title_sort | computation of traveling wave fronts for a nonlinear diffusion advection model |
| topic | reaction-diffusion-advection equations; bacterial growth;traveling wave fronts; numerical approximations |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.83 |
| work_keys_str_mv | AT mbamansour computationoftravelingwavefrontsforanonlineardiffusionadvectionmodel |