A modified fixed point method for biochemical transport

  • Mohamed Ridouan Amattouch University Hassan II
  • Hassan Belhadj Universit´e Abdelmalek Essaadi

Resumo

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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Biografia do Autor

Mohamed Ridouan Amattouch, University Hassan II

FST Tangier

Department of applied mathematics

Hassan Belhadj, Universit´e Abdelmalek Essaadi

FST of Tangier

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Publicado
2022-02-02
Seção
Artigos