Numerical Solution of the Heat Transfer Equation Coupled with the Darcy Flow Using the Finite Element Method

Mohammed Hirpho and Chun Gang Zhu

Abstract and Applied Analysis, 2022, vol. 2022, 1-9

Abstract: The finite element approach was utilized in this study to solve numerically the two-dimensional time-dependent heat transfer equation coupled with the Darcy flow. The Picard-Lindelöf Theorem was used to prove the existence and uniqueness of the solution. The prior and posterior error estimates are then derived for the numerical scheme. Numerical examples were provided to show the effectiveness of the theoretical results. The essential code development in this study was done using MATLAB computer simulation.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:5108445

DOI: 10.1155/2022/5108445

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