A finite-difference scheme in the computational modelling of a coupled substrate-biomass system

DOI10.1080/00207160.2013.870661zbMath1302.65195OpenAlexW1987204223MaRDI QIDQ2931958

R. E. Landry, Ashok Puri, Jorge Eduardo Macías-Díaz

Publication date: 28 November 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.870661

zbMATH Keywords

finite-difference schemeinverse-positive matricesexistence and uniqueness of numerical solutionscomputational modelling of biofilmsnon-negativity and boundedness

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) General biology and biomathematics (92B05) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Numerical methods for difference equations (65Q10)

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Cites Work

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• A finite-difference scheme to approximate non-negative and bounded solutions of a FitzHugh–Nagumo equation
• On some explicit non-standard methods to approximate nonnegative solutions of a weakly hyperbolic equation with logistic nonlinearity
• AN EFFICIENT RECURSIVE ALGORITHM IN THE COMPUTATIONAL SIMULATION OF THE BOUNDED GROWTH OF BIOLOGICAL FILMS
• Efficient numerical solution of Fisher's equation by using B-spline method
• The inverse problem of bisymmetric matrices with a submatrix constraint
• On a boundedness-preserving semi-linear discretization of a two-dimensional nonlinear diffusion–reaction model

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