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Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions

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Title: Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions
Authors: Dehghan, Mehdi mdehghan@aut.ac.ir, Tatari, Mehdi1
Source: Mathematical & Computer Modelling. Dec2006, Vol. 44 Issue 11/12, p1160-1168. 9p.
Subjects: Numerical analysis, Differential equations, Finite differences, Boundary value problems
Abstract: Abstract: In this work, the method of radial basis functions is used for finding the solution of an inverse problem with source control parameter. Because a much wider range of physical phenomena are modelled by nonclassical parabolic initial-boundary value problems, theoretical behavior and numerical approximation of these problems have been active areas of research. The radial basis functions (RBF) method is an efficient mesh free technique for the numerical solution of partial differential equations. The main advantage of numerical methods which use radial basis functions over traditional techniques is the meshless property of these methods. In a meshless method, a set of scattered nodes are used instead of meshing the domain of the problem. The results of numerical experiments are presented and some comparisons are made with several well-known finite difference schemes. [Copyright &y& Elsevier]
Copyright of Mathematical & Computer Modelling is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 21919864
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions
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  Data: <searchLink fieldCode="AR" term="%22Dehghan%2C+Mehdi%22">Dehghan, Mehdi</searchLink><i> mdehghan@aut.ac.ir</i><br /><searchLink fieldCode="AR" term="%22Tatari%2C+Mehdi%22">Tatari, Mehdi</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Mathematical+%26+Computer+Modelling%22">Mathematical & Computer Modelling</searchLink>. Dec2006, Vol. 44 Issue 11/12, p1160-1168. 9p.
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  Data: Abstract: In this work, the method of radial basis functions is used for finding the solution of an inverse problem with source control parameter. Because a much wider range of physical phenomena are modelled by nonclassical parabolic initial-boundary value problems, theoretical behavior and numerical approximation of these problems have been active areas of research. The radial basis functions (RBF) method is an efficient mesh free technique for the numerical solution of partial differential equations. The main advantage of numerical methods which use radial basis functions over traditional techniques is the meshless property of these methods. In a meshless method, a set of scattered nodes are used instead of meshing the domain of the problem. The results of numerical experiments are presented and some comparisons are made with several well-known finite difference schemes. [Copyright &y& Elsevier]
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  Group: Ab
  Data: <i>Copyright of Mathematical & Computer Modelling is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.mcm.2006.04.003
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      – Code: eng
        Text: English
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        PageCount: 9
        StartPage: 1160
    Subjects:
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Differential equations
        Type: general
      – SubjectFull: Finite differences
        Type: general
      – SubjectFull: Boundary value problems
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      – TitleFull: Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions
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              M: 12
              Text: Dec2006
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              Y: 2006
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              Value: 44
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              Value: 11/12
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