Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem

Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem

A deferred correction method is utilized to increase the order of spatial accuracy of the Crank-Nicolson scheme for the numerical solution of the one-dimensional heat equation. The fourth-order methods proposed are the easier development and can be solved by using Thomas algorithms. The stability an...

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Main Authors: D. Yambangwai, N. P. Moshkin
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/574620
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spelling doaj-37d022b3ba7d47019efbbb23e93b543f2020-11-24T22:52:43ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/574620574620Fourth-Order Deferred Correction Scheme for Solving Heat Conduction ProblemD. Yambangwai0N. P. Moshkin1Department of Mathematics, School of Science, University of Phayao, Phayao 56000, ThailandSchool of Mathematics, Institute of Science, Suranaree University of Technology, Nakhon Ratchasima 30000, ThailandA deferred correction method is utilized to increase the order of spatial accuracy of the Crank-Nicolson scheme for the numerical solution of the one-dimensional heat equation. The fourth-order methods proposed are the easier development and can be solved by using Thomas algorithms. The stability analysis and numerical experiments have been limited to one-dimensional heat-conducting problems with Dirichlet boundary conditions and initial data.http://dx.doi.org/10.1155/2013/574620
collection DOAJ
language English
format Article
sources DOAJ
author D. Yambangwai
N. P. Moshkin
spellingShingle D. Yambangwai
N. P. Moshkin
Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem
Mathematical Problems in Engineering
author_facet D. Yambangwai
N. P. Moshkin
author_sort D. Yambangwai
title Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem
title_short Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem
title_full Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem
title_fullStr Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem
title_full_unstemmed Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem
title_sort fourth-order deferred correction scheme for solving heat conduction problem
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description A deferred correction method is utilized to increase the order of spatial accuracy of the Crank-Nicolson scheme for the numerical solution of the one-dimensional heat equation. The fourth-order methods proposed are the easier development and can be solved by using Thomas algorithms. The stability analysis and numerical experiments have been limited to one-dimensional heat-conducting problems with Dirichlet boundary conditions and initial data.
url http://dx.doi.org/10.1155/2013/574620
work_keys_str_mv AT dyambangwai fourthorderdeferredcorrectionschemeforsolvingheatconductionproblem
AT npmoshkin fourthorderdeferredcorrectionschemeforsolvingheatconductionproblem
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