Fixed-Point and STILS Method to Solve a Coupled System of Transport Equations
In this paper, a coupled system of two transport equations is studied. The techniques are a fixed-point and Space-Time Integrated Least Square (STILS) method. The nonstationary advective transport equation is transformed to a “stationary” one by integrating space and time. Using a variational formul...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2705591 |
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| _version_ | 1832551076860002304 |
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| author | Daouda Sangare |
| author_facet | Daouda Sangare |
| author_sort | Daouda Sangare |
| collection | DOAJ |
| description | In this paper, a coupled system of two transport equations is studied. The techniques are a fixed-point and Space-Time Integrated Least Square (STILS) method. The nonstationary advective transport equation is transformed to a “stationary” one by integrating space and time. Using a variational formulation and an adequate Poincare inequality, we prove the existence and the uniqueness of the solution. The transport equation with a nonlinear feedback is solved using a fixed-point method. |
| format | Article |
| id | doaj-art-c0f77568acad40c188fa1b45720d954c |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c0f77568acad40c188fa1b45720d954c2025-02-03T06:05:02ZengWileyJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/2705591Fixed-Point and STILS Method to Solve a Coupled System of Transport EquationsDaouda Sangare0Laboratoire d’Analyse Numérique et d’Informatique (LANI)In this paper, a coupled system of two transport equations is studied. The techniques are a fixed-point and Space-Time Integrated Least Square (STILS) method. The nonstationary advective transport equation is transformed to a “stationary” one by integrating space and time. Using a variational formulation and an adequate Poincare inequality, we prove the existence and the uniqueness of the solution. The transport equation with a nonlinear feedback is solved using a fixed-point method.http://dx.doi.org/10.1155/2022/2705591 |
| spellingShingle | Daouda Sangare Fixed-Point and STILS Method to Solve a Coupled System of Transport Equations Journal of Applied Mathematics |
| title | Fixed-Point and STILS Method to Solve a Coupled System of Transport Equations |
| title_full | Fixed-Point and STILS Method to Solve a Coupled System of Transport Equations |
| title_fullStr | Fixed-Point and STILS Method to Solve a Coupled System of Transport Equations |
| title_full_unstemmed | Fixed-Point and STILS Method to Solve a Coupled System of Transport Equations |
| title_short | Fixed-Point and STILS Method to Solve a Coupled System of Transport Equations |
| title_sort | fixed point and stils method to solve a coupled system of transport equations |
| url | http://dx.doi.org/10.1155/2022/2705591 |
| work_keys_str_mv | AT daoudasangare fixedpointandstilsmethodtosolveacoupledsystemoftransportequations |