A new unconditionally stable explicit scheme for the convection–diffusion equation with Robin boundary conditions

DOI10.1080/00207160701581574zbMath1154.65067OpenAlexW2072580880MaRDI QIDQ3545674

Jian-Guo Lin, Jun-Tao Zhou, Zhi-Hua Xie

Publication date: 11 December 2008

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701581574

zbMATH Keywords

convection-diffusion equationnumerical experimentalternating direction explicit schemelocal series expansion methodunconditioned stability

Mathematics Subject Classification ID

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) Series solutions to PDEs (35C10) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

Understanding <scp>Saul'yev</scp>‐type unconditionally stable schemes from exponential splitting

Cites Work

• A new explicit method for the diffusion-convection equation
• The alternating segment Crank-Nicolson method for solving convection-diffusion equation with variable coefficient
• An implicit scheme for solving the convection-diffusion-reaction equation in two dimensions
• Alternating block explicit-implicit method for the two-dimensional diffusion equation
• Hopscotch: a Fast Second-order Partial Differential Equation Solver
• Computational Fluid Dynamics

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