The alternating segment Crank-Nicolson method for solving convection-diffusion equation with variable coefficient

DOI10.1007/BF02439375zbMath1137.76444OpenAlexW1558494673MaRDI QIDQ1429161

Wenqia Wang

Publication date: 18 May 2004

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02439375

zbMATH Keywords

convection-diffusion equationparallel computingCrank-Nicolson schemeunconditionally stablealternating segment methodasymmetries difference scheme

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Parallel numerical computation (65Y05) Diffusion and convection (76R99)

Related Items

Numerical solution of the convection diffusion equations by the second kind Chebyshev wavelets ⋮ Explicit schemes for parabolic and hyperbolic equations ⋮ A new alternating segment Crank-Nicolson scheme for the fourth-order parabolic equation ⋮ Modified variational iteration algorithm-II: convergence and applications to diffusion models ⋮ A new unconditionally stable explicit scheme for the convection–diffusion equation with Robin boundary conditions ⋮ Unnamed Item ⋮ New second-order finite difference scheme for the problem of contaminant in groundwater flow ⋮ Explicit-Implicit Splitting Schemes for Parabolic Equations and Systems

Cites Work

• Unnamed Item
• A new explicit method for the diffusion-convection equation
• Alternating group explicit method for the diffusion equation
• On alternating segment Crank-Nicolson scheme
• Alternating block explicit-implicit method for the two-dimensional diffusion equation
• Group explicit methods for parabolic equations
• The numerical solution of burgers' equation by the alternating group explicit (age) method
• A class of alternating block crank-nicolson method
• The variable coefficient ASE-I, ASC-N methods and their stability
• An Alternating Direction Method for Operator Equations

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