Fixed‐Point and STILS Method to Solve a Coupled System of Transport Equations

Daouda Sangare

Journal of Applied Mathematics, 2022, vol. 2022, issue 1

Abstract: 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.

Date: 2022
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https://doi.org/10.1155/2022/2705591

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2022:y:2022:i:1:n:2705591

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