Numerical solution of the heat equation with nonlocal boundary conditions
type: Item
instance of: scholarly article
title: Numerical solution of the heat equation with nonlocal boundary conditions
zbMATH Open document ID: 0936.65096
DOI: 10.1016/S0377-0427(99)00200-9
author: Yunkang Liu
published in: Journal of Computational and Applied Mathematics
publication date: 1999-12-19T00:00:00Z
review text: The author considers the \(\theta\)-method for the heat equation with nonlocal boundary conditions and proves stability for \(\theta\geq{1\over 2}\) under certain conditions. He presents three algorithms for solving the linear equations, comparing their efficiency for a simple numerical example.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 1367871
zbMATH Keywords: heat equation
zbMATH Keywords: nonlocal boundary conditions
zbMATH Keywords: \(\theta\)-method
zbMATH Keywords: stability
zbMATH Keywords: efficiency
zbMATH Keywords: algorithms
zbMATH Keywords: numerical example
reviewed by: J. D. P. Donnelly
MaRDI profile type: Publication
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Wikidata QID: Q127778849
description: scientific article; zbMATH DE number 1367871