A modified fixed point method for biochemical transport
This work is devoted to a modified fixed point method applied to the bio-chemical transport equation. To have a good accuracy for the solution we treat, we apply an implicit scheme to this equation and use a modified fixed point technique to linearize the problem of transport equation with a genera...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2022-02-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/46947 |
| _version_ | 1797633524971339776 |
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| author | Mohamed Ridouan Amattouch Hassan Belhadj |
| author_facet | Mohamed Ridouan Amattouch Hassan Belhadj |
| author_sort | Mohamed Ridouan Amattouch |
| collection | DOAJ |
| description |
This work is devoted to a modified fixed point method applied to the bio-chemical transport equation. To have a good accuracy for the solution we treat, we apply an implicit scheme to this equation and use a modified fixed point technique to linearize the problem of transport equation with a generalized nonlinear reaction and diffusion equation. Next, we apply this methods in particular to the the dynamical system of a bio-chemical process. Eventually, we accelerate these algorithms by the optimized domain decomposition methods.
Several test-cases of analytical problems illustrate this approach and show the efficiency of the proposed
new method.
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| first_indexed | 2024-03-11T11:55:08Z |
| format | Article |
| id | doaj.art-c6a65ccc848046a9af6730f042d72203 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:55:08Z |
| publishDate | 2022-02-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-c6a65ccc848046a9af6730f042d722032023-11-08T19:49:26ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-02-014010.5269/bspm.46947A modified fixed point method for biochemical transportMohamed Ridouan Amattouch0Hassan Belhadj1University Hassan IIUniversit´e Abdelmalek Essaadi This work is devoted to a modified fixed point method applied to the bio-chemical transport equation. To have a good accuracy for the solution we treat, we apply an implicit scheme to this equation and use a modified fixed point technique to linearize the problem of transport equation with a generalized nonlinear reaction and diffusion equation. Next, we apply this methods in particular to the the dynamical system of a bio-chemical process. Eventually, we accelerate these algorithms by the optimized domain decomposition methods. Several test-cases of analytical problems illustrate this approach and show the efficiency of the proposed new method. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/46947 |
| spellingShingle | Mohamed Ridouan Amattouch Hassan Belhadj A modified fixed point method for biochemical transport Boletim da Sociedade Paranaense de Matemática |
| title | A modified fixed point method for biochemical transport |
| title_full | A modified fixed point method for biochemical transport |
| title_fullStr | A modified fixed point method for biochemical transport |
| title_full_unstemmed | A modified fixed point method for biochemical transport |
| title_short | A modified fixed point method for biochemical transport |
| title_sort | modified fixed point method for biochemical transport |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/46947 |
| work_keys_str_mv | AT mohamedridouanamattouch amodifiedfixedpointmethodforbiochemicaltransport AT hassanbelhadj amodifiedfixedpointmethodforbiochemicaltransport AT mohamedridouanamattouch modifiedfixedpointmethodforbiochemicaltransport AT hassanbelhadj modifiedfixedpointmethodforbiochemicaltransport |