Convergence of a projection-difference method for the approximate solution of a parabolic equation with a weighted integral condition on the solution

DOI10.1134/S0012266118070133zbMath1405.65125OpenAlexW2886487120WikidataQ115250677 ScholiaQ115250677MaRDI QIDQ1798694

A. A. Petrova

Publication date: 23 October 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118070133

zbMATH Keywords

convergence analysisfinite element methodparabolic equationprojection-difference methodweighted integral condition

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

Root mean square error estimates for the projection-difference method for the approximate solution of a parabolic equation with a periodic condition for the solution ⋮ Convergence of the projection-difference method for the approximate solution of a smoothly solvable parabolic equation with a weighted integral condition

Cites Work

• Convergence of the Galerkin method of approximate solving parabolic equation with weight integral condition
• Estimates of the rate of convergence of projective and projective-difference methods for weakly solvable parabolic equations
• COERCIVE ERROR ESTIMATES IN THE PROJECTION AND PROJECTION-DIFFERENCE METHODS FOR PARABOLIC EQUATIONS
• Projection-difference methods for the approximate solution of parabolic equations with nonsymmetric operators
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