A fourth-order method of the convection-diffusion equations with Neumann boundary conditions

DOI10.1016/j.amc.2011.03.141zbMath1256.65081OpenAlexW2011066054MaRDI QIDQ547981

Huai-Huo Cao, Li-Bin Liu, Shengmao Fu, Yong Zhang

Publication date: 27 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.141

zbMATH Keywords

numerical resultsconvection-diffusion equationPadé approximationunconditional stabilityNeumann boundary conditionsfourth-order compact finite difference scheme

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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 (13)

Computational study of the convection-diffusion equation using new cubic B-spline approximations ⋮ Numerical solution of the convection diffusion equations by the second kind Chebyshev wavelets ⋮ Parallel hybrid PSO with CUDA for lD heat conduction equation ⋮ A compact finite volume method and its extrapolation for elliptic equations with third boundary conditions ⋮ Finite difference scheme for a fractional telegraph equation with generalized fractional derivative terms ⋮ The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces ⋮ Cubic B-splines collocation method for solving nonlinear parabolic partial differential equations with Neumann boundary conditions ⋮ Novel cubic trigonometric B-spline approach based on the Hermite formula for solving the convection-diffusion equation ⋮ High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation ⋮ Unnamed Item ⋮ The numerical study of advection-diffusion equations by the fourth-order cubic B-spline collocation method ⋮ A second-order finite difference method for the resolution of a boundary value problem associated to a modified Poisson equation in spherical coordinates ⋮ Global existence and decay estimate of solution to one dimensional convection-diffusion equation

Cites Work

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• A new difference scheme with high accuracy and absolute stability for solving convection-diffusion equations
• On the finite difference approximation to the convection-diffusion equation
• Alternating group explicit method with exponential-type for the diffusion–convection equation
• Compact difference schemes for heat equation with Neumann boundary conditions
• Efficient Solution of Parabolic Equations by Krylov Approximation Methods
• Generalized trapezoidal formulas for convection-diffusion equations
• Fourth‐order compact schemes for solving multidimensional heat problems with Neumann boundary conditions

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