Stability Properties and Spurious Period Two Solutions in a Numerical Scheme for a Reaction-Diffusion Equation with Nonlinear Diffusion

DOI10.1093/imanum/11.4.553zbMath0741.65070OpenAlexW2086447604MaRDI QIDQ3982218

Schalk W. Schoombie

Publication date: 26 June 1992

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/11.4.553

zbMATH Keywords

stabilityinstabilitynumerical resultsdomain of attractionnonlinear diffusion equationreaction-diffusion equationperiod two solutionsstable fixed points

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)

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On spurious fixed points of Runge-Kutta methods ⋮ Partially implicit schemes for the numerical solutions of some nonlinear differential equations

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