An unconditionally positivity preserving scheme for advection-diffusion reaction equations

DOI10.1016/j.mcm.2011.05.005zbMath1286.65096OpenAlexW2016680604MaRDI QIDQ2450451

Benito M. Chen-Charpentier, Hristo V. Kojouharov

Publication date: 14 May 2014

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.05.005

zbMATH Keywords

numerical schemes parabolic equations positive preserving

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)

Related Items (29)

Computational modelling and bifurcation analysis of reaction diffusion epidemic system with modified nonlinear incidence rate ⋮ Nonstandard finite difference schemes for a class of generalized convection–diffusion–reaction equations ⋮ Unconditionally positive NSFD and classical finite difference schemes for biofilm formation on medical implant using Allen-Cahn equation ⋮ On the numerical solution of Fisher's equation with coefficient of diffusion term much smaller than coefficient of reaction term ⋮ A comparative study of two different finite difference methods for solving advection-diffusion reaction equation for modeling exponential traveling wave in heat and mass transfer processes ⋮ A non‐standard finite difference scheme for an advection‐diffusion‐reaction equation ⋮ An advection-diffusion-reaction model for coffee percolation ⋮ Numerical simulation of a one-dimensional water-quality model in a stream using a Saulyev technique with quadratic interpolated initial-boundary conditions ⋮ A non-standard finite difference method for a hepatitis B virus infection model with spatial diffusion ⋮ A fast and unconditionally positive finite-difference discretization of a multidimensional equation in nonlinear population dynamics ⋮ A new stable, explicit, and generic third‐order method for simulating conductive heat transfer ⋮ A class of new stable, explicit methods to solve the non‐stationary heat equation ⋮ New stable, explicit, second order hopscotch methods for diffusion-type problems ⋮ A Meshfree Approach Based on Moving Kriging Interpolation for Numerical Solution of Coupled Reaction-Diffusion Problems ⋮ Unconditionally positive, explicit, fourth order method for the diffusion- and Nagumo-type diffusion-reaction equations ⋮ Numerical modelling of advection diffusion equation using Chebyshev spectral collocation method and Laplace transform ⋮ CMMSE: a reduced percolation model for espresso coffee ⋮ A Novel Explicit Positivity-Preserving Finite-Difference Scheme for Simulating Bounded Growth of Biological Films ⋮ Analytical and numerical solutions of time and space fractional advection-diffusion-reaction equation ⋮ A positivity-preserving numerical scheme for nonlinear option pricing models ⋮ Unnamed Item ⋮ Unconditional positive stable numerical solution of partial integrodifferential option pricing problems ⋮ Consistency and Unconditional Stability of a Positive Upwind Scheme for One-Dimensional Species Transport Equation ⋮ A boundedness and monotonicity preserving method for a generalized population model ⋮ A positivity-preserving numerical scheme for option pricing model with transaction costs under jump-diffusion process ⋮ NSFD scheme and dynamic consistency of a delayed diffusive humoral immunity viral infection model ⋮ Positive explicit and implicit computational techniques for reaction-diffusion epidemic model of dengue disease dynamics ⋮ Unnamed Item ⋮ A class of nonstandard finite difference methods for the Burgers–Huxley equation

Cites Work

This page was built for publication: An unconditionally positivity preserving scheme for advection-diffusion reaction equations