Solving free boundary problem for an initial cell layer in multispecies biofilm formation by Newton-Raphson method

DOI10.22034/CMDE.2020.39940.1746zbMath1499.65748OpenAlexW3084085163MaRDI QIDQ5025508

Fazlallahi Mohammad Asadpour, Karim Ivaz

Publication date: 2 February 2022

Full work available at URL: https://cmde.tabrizu.ac.ir/article_10908_082747e2679c9a440406ec4a05720457.pdf

zbMATH Keywords

free boundary problemNewton-Raphson methodbiofilmnonlinear system of Volterra integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) General biology and biomathematics (92B05) Partial differential equations and systems of partial differential equations with constant coefficients (35E99)

Cites Work

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• Numerical solution for system of singular nonlinear Volterra integro-differential equations by Newton-Product method
• MULTISCALE BIOLOGICAL TISSUE MODELS AND FLUX-LIMITED CHEMOTAXIS FOR MULTICELLULAR GROWING SYSTEMS
• Theoretical Numerical Analysis

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