Bioheat transfer equation. The problem of FDM explicit scheme stability

DOI10.17512/JAMCM.2015.4.14OpenAlexW2520888993MaRDI QIDQ2201193

Mateusz Duda, Wioletta Tuzikiewicz

Publication date: 25 September 2020

Published in: Journal of Applied Mathematics and Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17512/jamcm.2015.4.14

zbMATH Keywords

finite difference methodvon Neumann methodstability conditionbio-heat transfer

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Related Items (2)

Comparison of bio-heat transfer numerical models based on the pennes and Cattaneo-Vernotte equations ⋮ Cattaneo-Vernotte bioheat transfer equation. Stability conditions of numerical algorithm based on the explicit scheme of the finite difference method

Cites Work

• Numerical modeling of thermal processes in the living tissue domain secured with a layer of protective clothing
• Simplified model of thermal interactions between environment, protective clothing and skin tissue

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