Numerical Solution of Heat Equation with Singular Robin Boundary Condition

Detalhes bibliográficos
Autor(a) principal: LOZADA-CRUZ,G.
Data de Publicação: 2018
Outros Autores: RUBIO-MERCEDES,C.E., RODRIGUES-RIBEIRO,J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000200209
Resumo: ABSTRACT In this work we study the numerical solution of one-dimensional heat diffusion equation subject to Robin boundary conditions multiplied with a small parameter epsilon greater than zero. The numerical evidences tell us that the numerical solution of the differential equation with Robin boundary condition are very close in certain sense of the analytic solution of the problem with homogeneous Dirichlet boundary conditions when ε tends to zero.
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spelling Numerical Solution of Heat Equation with Singular Robin Boundary ConditionEigenvalue ProblemsFinite Difference MethodRobin Boundary ConditionsNumerical SolutionsABSTRACT In this work we study the numerical solution of one-dimensional heat diffusion equation subject to Robin boundary conditions multiplied with a small parameter epsilon greater than zero. The numerical evidences tell us that the numerical solution of the differential equation with Robin boundary condition are very close in certain sense of the analytic solution of the problem with homogeneous Dirichlet boundary conditions when ε tends to zero.Sociedade Brasileira de Matemática Aplicada e Computacional2018-08-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000200209TEMA (São Carlos) v.19 n.2 2018reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)instname:Sociedade Brasileira de Matemática Aplicada e Computacionalinstacron:SBMAC10.5540/tema.2018.019.02.0209info:eu-repo/semantics/openAccessLOZADA-CRUZ,G.RUBIO-MERCEDES,C.E.RODRIGUES-RIBEIRO,J.eng2018-09-10T00:00:00Zoai:scielo:S2179-84512018000200209Revistahttp://www.scielo.br/temaPUBhttps://old.scielo.br/oai/scielo-oai.phpcastelo@icmc.usp.br2179-84511677-1966opendoar:2018-09-10T00:00TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacionalfalse
dc.title.none.fl_str_mv Numerical Solution of Heat Equation with Singular Robin Boundary Condition
title Numerical Solution of Heat Equation with Singular Robin Boundary Condition
spellingShingle Numerical Solution of Heat Equation with Singular Robin Boundary Condition
LOZADA-CRUZ,G.
Eigenvalue Problems
Finite Difference Method
Robin Boundary Conditions
Numerical Solutions
title_short Numerical Solution of Heat Equation with Singular Robin Boundary Condition
title_full Numerical Solution of Heat Equation with Singular Robin Boundary Condition
title_fullStr Numerical Solution of Heat Equation with Singular Robin Boundary Condition
title_full_unstemmed Numerical Solution of Heat Equation with Singular Robin Boundary Condition
title_sort Numerical Solution of Heat Equation with Singular Robin Boundary Condition
author LOZADA-CRUZ,G.
author_facet LOZADA-CRUZ,G.
RUBIO-MERCEDES,C.E.
RODRIGUES-RIBEIRO,J.
author_role author
author2 RUBIO-MERCEDES,C.E.
RODRIGUES-RIBEIRO,J.
author2_role author
author
dc.contributor.author.fl_str_mv LOZADA-CRUZ,G.
RUBIO-MERCEDES,C.E.
RODRIGUES-RIBEIRO,J.
dc.subject.por.fl_str_mv Eigenvalue Problems
Finite Difference Method
Robin Boundary Conditions
Numerical Solutions
topic Eigenvalue Problems
Finite Difference Method
Robin Boundary Conditions
Numerical Solutions
description ABSTRACT In this work we study the numerical solution of one-dimensional heat diffusion equation subject to Robin boundary conditions multiplied with a small parameter epsilon greater than zero. The numerical evidences tell us that the numerical solution of the differential equation with Robin boundary condition are very close in certain sense of the analytic solution of the problem with homogeneous Dirichlet boundary conditions when ε tends to zero.
publishDate 2018
dc.date.none.fl_str_mv 2018-08-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000200209
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000200209
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.5540/tema.2018.019.02.0209
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv TEMA (São Carlos) v.19 n.2 2018
reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
instname:Sociedade Brasileira de Matemática Aplicada e Computacional
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional
instacron_str SBMAC
institution SBMAC
reponame_str TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
collection TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
repository.name.fl_str_mv TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacional
repository.mail.fl_str_mv castelo@icmc.usp.br
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