A comparison of two numerical methods for oscillatory reaction-diffusion systems

DOI10.1016/S0893-9659(97)00001-3zbMath0883.65071OpenAlexW2061961561MaRDI QIDQ1372224

Jonathan A. Sherratt

Publication date: 14 December 1997

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(97)00001-3

zbMATH Keywords

convergencecomparison of methodslimit cyclefinite difference schemereaction-diffusion systemsmethod of linesscientific computingperiodic wavesGear's methodCrank-Nicolson algorithmoscillatory reaction-diffusion equationsoscillatory wake solutions

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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• Convergence and stability analysis of an explicit finite difference method for 2-dimensional reaction-diffusion equations
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• The automatic integration of ordinary differential equations

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