Exact Finite Difference Scheme for an Advection-Reaction Equation

DOI10.1080/1023619031000146931zbMath1040.65077OpenAlexW1970793397MaRDI QIDQ4443216

Sandra A. Rucker

Publication date: 2003

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

Full work available at URL: https://doi.org/10.1080/1023619031000146931

zbMATH Keywords

method of characteristicsRiccati equationadvection-reaction equationexact difference scheme

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (14)

Nonstandard finite difference schemes for a class of generalized convection–diffusion–reaction equations ⋮ An explicit nonstandard finite difference scheme for the Allen–Cahn equation ⋮ A non‐standard finite difference scheme for an advection‐diffusion‐reaction equation ⋮ On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations ⋮ Exact finite-difference scheme and nonstandard finite-difference scheme for coupled Burgers equation ⋮ Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations ⋮ On the use of nonstandard finite difference methods† ⋮ A Nonstandard Finite Difference Scheme for an Advection-Reaction Equation ⋮ Exact difference schemes for a two-dimensional convection-diffusion-reaction equation ⋮ Exact finite-difference schemes for first order differential equations having three distinct fixed-points ⋮ Numerical solutions of FitzHugh-Nagumo equation by exact finite-difference and NSFD schemes ⋮ On an efficient implementation and mass boundedness conditions for a discrete Dirichlet problem associated with a nonlinear system of singular partial differential equations ⋮ Numerical solutions of Burgers–Huxley equation by exact finite difference and NSFD schemes ⋮ Exact difference schemes and schemes of higher order of approximation for convection-diffusion equation. I

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