Analytic and numeric solutions of moving boundary problems

DOI10.1016/j.cam.2023.115270OpenAlexW4366503342MaRDI QIDQ6137792

Milan Miklavčič

Publication date: 4 September 2023

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

Full work available at URL: https://doi.org/10.1016/j.cam.2023.115270

zbMATH Keywords

moving boundary problemsone-phase Stefan problemanalytic solutions of moving boundary problemsoxygen diffusion in absorbing media

Mathematics Subject Classification ID

Numerical analysis (65-XX) Parabolic equations and parabolic systems (35Kxx) Thermodynamics and heat transfer (80Axx) Applications to the sciences (65Zxx)

Cites Work

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• The role of the Crank-Gupta model in the theory of free and moving boundary problems
• Free boundary problems of Stephan type with prescribed flux
• Complete numerical solution of the oxygen diffusion problem involving a moving boundary
• An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue
• A numerical method for oxygen diffusion and absorption in a sike cell
• Quasi Similarity Solutions for One Phase Stefan Problems with Time-Dependent Boundary Conditions
• Comparative study between two numerical methods for oxygen diffusion problem
• Numerical solution of the oxygen diffusion in absorbing tissue with a moving boundary
• A Fourier-series Solution of the Crank—Gupta Equation
• A Finite Element Moving Boundary Computation with an Adaptive Mesh
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue