A mesh free numerical method for the solution of an inverse heat problem

Azari, Hossein; Parzlivand, F.; Zhang, Shuhua

  • Applications of Mathematics 2012, Publisher: Institute of Mathematics AS CR(Prague), page 14-30

Abstract

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We combine the theory of radial basis functions with the finite difference method to solve the inverse heat problem, and use five standard radial basis functions in the method of the collocation. In addition, using the newly proposed numerical procedure, we also discuss some experimental numerical results.

How to cite

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Azari, Hossein, Parzlivand, F., and Zhang, Shuhua. "A mesh free numerical method for the solution of an inverse heat problem." Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012. 14-30. <http://eudml.org/doc/287819>.

@inProceedings{Azari2012,
abstract = {We combine the theory of radial basis functions with the finite difference method to solve the inverse heat problem, and use five standard radial basis functions in the method of the collocation. In addition, using the newly proposed numerical procedure, we also discuss some experimental numerical results.},
author = {Azari, Hossein, Parzlivand, F., Zhang, Shuhua},
booktitle = {Applications of Mathematics 2012},
keywords = {inverse heat problem; mesh free method; finite difference method; radial basis function; collocation method; numerical results},
location = {Prague},
pages = {14-30},
publisher = {Institute of Mathematics AS CR},
title = {A mesh free numerical method for the solution of an inverse heat problem},
url = {http://eudml.org/doc/287819},
year = {2012},
}

TY - CLSWK
AU - Azari, Hossein
AU - Parzlivand, F.
AU - Zhang, Shuhua
TI - A mesh free numerical method for the solution of an inverse heat problem
T2 - Applications of Mathematics 2012
PY - 2012
CY - Prague
PB - Institute of Mathematics AS CR
SP - 14
EP - 30
AB - We combine the theory of radial basis functions with the finite difference method to solve the inverse heat problem, and use five standard radial basis functions in the method of the collocation. In addition, using the newly proposed numerical procedure, we also discuss some experimental numerical results.
KW - inverse heat problem; mesh free method; finite difference method; radial basis function; collocation method; numerical results
UR - http://eudml.org/doc/287819
ER -

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