A modified upwind difference scheme for nonlinear parabolic equations in a variable domain

DOI10.1007/s11766-997-0043-6zbMath0890.65090OpenAlexW2329479805MaRDI QIDQ1377179

Ming Rong Cui

Publication date: 14 July 1998

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-997-0043-6

zbMATH Keywords

stabilityerror estimatesnonlinear parabolic equationsmoving boundary conditionvariable domainupwind difference scheme

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

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• Characteristic finite difference methods for moving boundary value problem of numerical simulation of oil deposit
• A Modified Upwind Scheme for Convective Transport Equations and the Use of a Conjugate Gradient Method for the Solution of Non-Symmetric Systems of Equations
• Finite Difference Scheme for Parabolic Problems on Composite Grids with Refinement in Time and Space