A finite-difference scheme to approximate non-negative and bounded solutions of a FitzHugh–Nagumo equation

DOI10.1080/00207160.2011.579964zbMath1242.65170OpenAlexW2000569280MaRDI QIDQ2885544

Javier Ruiz-Ramírez, Jorge Eduardo Macías-Díaz

Publication date: 23 May 2012

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

Full work available at URL: https://doi.org/10.1080/00207160.2011.579964

zbMATH Keywords

stabilityconvergencenonlinear parabolic equationconsistencyboundednessnumerical examplesDirichlet boundary conditionsfinite-difference schemeFitzHugh-Nagumo equationnon-negativity

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Physiology (general) (92C30) Initial value problems for second-order parabolic equations (35K15)

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