A Mickens‐type discretization of a diffusive model with nonpolynomial advection/convection and reaction terms
DOI10.1002/num.21909zbMath1316.65077OpenAlexW1834367764MaRDI QIDQ5252266
José Villa Morales, Jorge Eduardo Macías-Díaz
Publication date: 29 May 2015
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.21909
stabilityreaction-diffusion equationnumerical simulationFisher's equationBurgers-Fisher equationmonotonicity-preserving schemediffusive partial differential equationMickens equationnon-negative and bounded techniquenonlocal finitedifference schemenonpolynomial advection/convection and reaction laws
KdV equations (Korteweg-de Vries equations) (35Q53) 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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