On the stability and convergence of an implicit logarithmic scheme for diffusion equations with nonlinear reaction

DOI10.1007/s10910-020-01103-8zbMath1440.65094OpenAlexW3003369704MaRDI QIDQ2299183

Jorge Eduardo Macías-Díaz, Ahmed S. Hendy

Publication date: 20 February 2020

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-020-01103-8

zbMATH Keywords

reaction-diffusion equationsstructure-preserving methodnumerical efficiency analysisimplicit logarithmic scheme

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Positive solutions to PDEs (35B09) Numerical methods for difference equations (65Q10)

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