Projection-difference method with the Crank-Nicolson scheme in time for the approximate solution of a parabolic equation with an integral condition for the solution

DOI10.1134/S0012266115010115zbMath1327.65162WikidataQ115251533 ScholiaQ115251533MaRDI QIDQ2345840

V. V. Smagin

Publication date: 21 May 2015

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

zbMATH Keywords

convergenceGalerkin methodHilbert spacefinite elementCrank-Nicolson schemeinitial boundary value problemnonlocal integral conditionabstract parabolic problemprojection-difference method

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

Strong-norm convergence of the errors of the projective-difference method with the Crank-Nicolson scheme in time for a parabolic equation with a periodic condition on the solution ⋮ Solving a variational parabolic equation with the periodic condition by a projection-difference method with the Crank-Nicolson scheme in time

Cites Work

• 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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