Numerical solution of nonlinear advection diffusion reaction equation using high-order compact difference method
type: Item
instance of: scholarly article
title: Numerical solution of nonlinear advection diffusion reaction equation using high-order compact difference method
zbMATH Open document ID: 1475.65089
author: Lin Zhang
author: Yongbin Ge
published in: Applied Numerical Mathematics
publication date: 2021-06-03T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65B05
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 7354418
zbMATH Keywords: nonlinear advection diffusion reaction equation
zbMATH Keywords: high-order compact difference scheme
zbMATH Keywords: Richardson extrapolation
zbMATH Keywords: backward differencing formula
zbMATH Keywords: convergence and stability
describes a project that uses: Wesseling
MaRDI profile type: Publication
full work available at URL: j.apnum.2021.04.004
OpenAlex ID: W3156810935
cites work: A mollification based operator splitting method for convection diffusion equations
cites work: Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
cites work: Chebyshev wavelet collocation method for solving generalized Burgers-Huxley equation
cites work: The stability properties ofq-step backward difference schemes
cites work: Spectral deferred correction methods for ordinary differential equations
cites work: Development of Galerkin method for solving the generalized Burger's-Huxley equation
cites work: Numerical solution of nonlinear Burgers' equation using high accuracy multi-quadric quasi-interpolation
cites work: High-order numerical solution of time-dependent differential equations with quasi-interpolation
cites work: A compact adaptive approach for degenerate singular reaction‐diffusion equations
cites work: Total variation diminishing Runge-Kutta schemes
cites work: High order strong stability preserving time discretizations
cites work: Q5719651
cites work: Q4421310
cites work: A new domain decomposition algorithm for generalized Burgers-Huxley equation based on Chebyshev polynomials and preconditioning
cites work: Compact finite difference schemes with spectral-like resolution
cites work: Multigrid methods for flow transition in a planar channel
cites work: Numerical solutions of nonlinear Burgers equation with modified cubic B-splines collocation method
cites work: Numerical solutions of generalized Burgers–Fisher and generalized Burgers–Huxley equations using collocation of cubicB-splines
cites work: Q4777199
cites work: New multi-implicit space-time spectral element methods for advection-diffusion-reaction problems
cites work: Q4303980
cites work: Q5248969
cites work: Q4039701
cites work: A Revisit of the Semi-Adaptive Method for Singular Degenerate Reaction-Diffusion Equations
cites work: Total-Variation-Diminishing Time Discretizations
cites work: HIGH-ORDER-ACCURATE SCHEMES FOR INCOMPRESSIBLE VISCOUS FLOW
cites work: A Second-Order Accurate Linearized Difference Scheme for the Two- Dimensional Cahn-Hilliard Equation
cites work: The finite volume-complete flux scheme for advection-diffusion-reaction equations
cites work: Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
cites work: Implicit-explicit local discontinuous Galerkin methods with generalized alternating numerical fluxes for convection-diffusion problems
cites work: A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations
cites work: New characteristic difference method with adaptive mesh for one-dimensional unsteady convection-dominated diffusion equations
cites work: Solitary wave solutions of the generalised Burgers-Huxley equation
cites work: Q4004051
cites work: A class of high-order compact difference schemes for solving the Burgers' equations
cites work: Enforcing positivity with conservation for nine-point scheme of nonlinear diffusion equations
cites work: A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes
cites work: On convergence and performance of iterative methods with fourth-order compact schemes
DOI: 10.1016/J.APNUM.2021.04.004
description: scientific article; zbMATH DE number 7354418