On convergence in the \(L_ 2\) norm of difference schemes for systems of parabolic partial differential equations

DOI10.1007/BF00970937zbMath0827.65084MaRDI QIDQ1897873

Remigijus Čiegis, Mečislavas Meilūnas, Raimondas Čiegis

Publication date: 18 September 1995

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

convergencenonlinear stabilityerror estimateimplicit finite difference schemedegenerate systempredictor-corrector type methods

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) 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)

Related Items (3)

On a general method for investigation of finite difference schemes ⋮ A numerical algorithm for simulation of the Q-switched fiber laser using the travelling wave model ⋮ Finite-difference schemes for parabolic problems on graphs

Cites Work

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• Galerkin finite element methods for parabolic problems
• On the convergence in \(C\) norm of symmetric difference schemes for nonlinear evolution problems
• On the difference scheme for a nonlinear diffusion-reaction-type problem
• Galerkin Methods for Parabolic Equations

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