Convergence of finite difference method for the parabolic problem with concentrated capacity and variable operator
type: Item
instance of: scholarly article
title: Convergence of finite difference method for the parabolic problem with concentrated capacity and variable operator
zbMATH Open document ID: 1111.65079
author: N. E. Zubov
published in: Journal of Computational and Applied Mathematics
publication date: 2006-03-24T00:00:00Z
review text: A convergence analysis of a finite difference scheme for a parabolic problem, described by the one dimensional heat equation with time-dependent operator and a singular coefficient with the Dirac delta function is presented. An error bound estimate, ``almost'' compatible with the smootheness of the exact solution is established by means of a special energetic Sobolev norm.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35R05
zbMATH DE Number: 5015135
zbMATH Keywords: convergence
zbMATH Keywords: delta function
zbMATH Keywords: variable operator
zbMATH Keywords: heat equation
zbMATH Keywords: finite difference method
zbMATH Keywords: parabolic problem
zbMATH Keywords: error bound
zbMATH Keywords: energetic Sobolev norm
reviewed by: Snezhana Gocheva-Ilieva
MaRDI profile type: Publication
full work available at URL: j.cam.2005.03.031
OpenAlex ID: W1970710017
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DOI: 10.1016/J.CAM.2005.03.031
description: scientific article; zbMATH DE number 5015135