Exact finite difference scheme for an advection equation having square-root dynamics

DOI10.1080/10236190802332209zbMath1155.35003OpenAlexW2033609165MaRDI QIDQ3534872

Ronald E. Mickens

Publication date: 5 November 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190802332209

zbMATH Keywords

advectionnonstandard finite difference schemesnonlinear PDE'sexact finite difference schemes

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (5)

Nonstandard finite difference schemes for a class of generalized convection–diffusion–reaction equations ⋮ On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations ⋮ Analysis of degenerate Burgers' equations involving small perturbation and large wave amplitude ⋮ Wave front behavior of traveling wave solutions for a PDE having square-root dynamics ⋮ Traveling wave solutions to modified Burgers and diffusionless Fisher PDE's

Cites Work

• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Nonlinear Partial Differential Equations for Scientists and Engineers
• On the Simple Stochastic Epidemic
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