Numerical analysis of the one-dimensional heat equation subject to a boundary integral specification

In this research a numerical technique is developed for the one-dimensional heat equation that combines classical and integral boundary conditions. New matrix formulation techniques with arbitrary polynomial bases are proposed for the numerical/analytical solution of this kind of partial differentia...

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Bibliographic Details
Published inOptics communications Vol. 284; no. 8; pp. 2109 - 2112
Main Author Soltanalizadeh, B.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.04.2011
Subjects
Algorithms
Boundaries
Boundary conditions
Expansion methods
Heat equation
Heat equations
Integrals
Mathematical analysis
Mathematical models
Matrix formulation
Nonlocal boundary conditions
Specifications
Expansion methods
Nonlocal boundary conditions
Heat equation
35Lxx
Matrix formulation
35Qxx
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Summary:In this research a numerical technique is developed for the one-dimensional heat equation that combines classical and integral boundary conditions. New matrix formulation techniques with arbitrary polynomial bases are proposed for the numerical/analytical solution of this kind of partial differential equation. We give a simple and efficient algorithm based on an iterative process for numerical solution of the method.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0030-4018
1873-0310
DOI:10.1016/j.optcom.2010.12.074