On the rate of convergence of projection-difference methods for smoothly solvable parabolic equations

DOI10.1007/s11006-005-0189-6zbMath1108.65056OpenAlexW2044549253MaRDI QIDQ2508754

V. V. Smagin

Publication date: 20 October 2006

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

Full work available at URL: https://doi.org/10.1007/s11006-005-0189-6

zbMATH Keywords

convergenceGalerkin methoderror estimatesimplicit Euler methodCrank-Nicolson schemeseparable Hilbert spaceprojection-difference methodlinear parabolic problem

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) Numerical solutions to equations with linear operators (65J10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Linear differential equations in abstract spaces (34G10)

Cites Work

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• Estimates of error of semidiscrete approximations by Galerkin for parabolic equations with boundary condition of Neumann type
• Strong-norm error estimates for the projective-difference method for parabolic equations with modified Crank-Nicolson scheme
• Strong-norm error estimates for the projective-difference method for approximately solving abstract parabolic equations
• Estimates of the rate of convergence of projective and projective-difference methods for weakly solvable parabolic equations
• Mean-square estimates for the error of a projection-difference method for parabolic equations

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