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2022 Numerical Solution of the Heat Transfer Equation Coupled with the Darcy Flow Using the Finite Element Method
Mohammed Hirpho
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Abstr. Appl. Anal. 2022: 1-9 (2022). DOI: 10.1155/2022/5108445

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.

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Mohammed Hirpho. "Numerical Solution of the Heat Transfer Equation Coupled with the Darcy Flow Using the Finite Element Method." Abstr. Appl. Anal. 2022 1 - 9, 2022. https://doi.org/10.1155/2022/5108445

Information

Received: 20 January 2022; Accepted: 21 March 2022; Published: 2022
First available in Project Euclid: 28 July 2022

Digital Object Identifier: 10.1155/2022/5108445

Rights: Copyright © 2022 Hindawi

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