Solving a variational parabolic equation with the periodic condition by a projection-difference method with the Crank-Nicolson scheme in time
type: Item
instance of: scholarly article
title: Solving a variational parabolic equation with the periodic condition by a projection-difference method with the Crank-Nicolson scheme in time
zbMATH Open document ID: 1377.65100
DOI: 10.1134/S0037446617040048
author: A. S. Bondarev
author: V. V. Smagin
published in: Siberian Mathematical Journal
publication date: 2017-10-27T00:00:00Z
review text: The paper attempts to develop a solution to a smoothly solvable linear vibrational periodic equation with a periodic condition in a separable Hilbert space by an approximate projection- difference method. The Crank-Nicolson scheme in time is used for the convergence of the approximate solution to the initial value problem. Several lemmas and theorems are stated and proved for the error estimates and the solvability of the problem. No numerical example is presented to demonstrate the applicability of the method.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 6798779
zbMATH Keywords: Hilbert space
zbMATH Keywords: parabolic equation
zbMATH Keywords: projection- difference method
zbMATH Keywords: Crank-Nicolson scheme
zbMATH Keywords: linear vibrational periodic equation
zbMATH Keywords: convergence
zbMATH Keywords: initial value problem
zbMATH Keywords: error estimates
MaRDI profile type: Publication
cites work: Q3566786
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full work available at URL: s0037446617040048
OpenAlex ID: W2753255166
description: scientific article; zbMATH DE number 6798779