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

DOI10.1134/S0012266122050081OpenAlexW4293689233WikidataQ114075317 ScholiaQ114075317MaRDI QIDQ2169318

A. S. Bondarev

Publication date: 2 September 2022

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

Full work available at URL: https://doi.org/10.1134/s0012266122050081

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Fluid mechanics (76-XX)

Cites Work

• 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
• Solving a variational parabolic equation with the periodic condition by a projection-difference method with the Crank-Nicolson scheme in time
• 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
• Estimates of the rate of convergence of projective and projective-difference methods for weakly solvable parabolic equations
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