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Volume 4, Issue 4
A stable numerical algorithm for solving an inverse parabolic problem

R. Pourgholi and M. Rostamian

J. Info. Comput. Sci. , 4 (2009), pp. 290-298.

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  • Abstract
In this paper we consider a numerical approach for the determination of an unknown boundary condition in the inverse heat conduction problem (IHCP). The given heat conduction equation, the boundary condition, and the initial condition are presented in a dimensionless form. The numerical algorithm based on finite-difference method and the least-squares scheme for solving the inverse problem. To regularize the resultant ill-conditioned linear system of equations, we apply the Tikhonov regularization method with L- curve scheme to obtain the stable numerical approximation to the solution.
  • Keywords

Inverse heat conduction problem, Finite difference method, Consistency, Stability, Least- square method, Regularization method.

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COPYRIGHT: © Global Science Press

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@Article{JICS-4-290, author = {R. Pourgholi and M. Rostamian}, title = {A stable numerical algorithm for solving an inverse parabolic problem}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {4}, number = {4}, pages = {290--298}, abstract = {In this paper we consider a numerical approach for the determination of an unknown boundary condition in the inverse heat conduction problem (IHCP). The given heat conduction equation, the boundary condition, and the initial condition are presented in a dimensionless form. The numerical algorithm based on finite-difference method and the least-squares scheme for solving the inverse problem. To regularize the resultant ill-conditioned linear system of equations, we apply the Tikhonov regularization method with L- curve scheme to obtain the stable numerical approximation to the solution. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22738.html} }
TY - JOUR T1 - A stable numerical algorithm for solving an inverse parabolic problem AU - R. Pourgholi and M. Rostamian JO - Journal of Information and Computing Science VL - 4 SP - 290 EP - 298 PY - 2024 DA - 2024/01 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22738.html KW - Inverse heat conduction problem, Finite difference method, Consistency, Stability, Least- square method, Regularization method. AB - In this paper we consider a numerical approach for the determination of an unknown boundary condition in the inverse heat conduction problem (IHCP). The given heat conduction equation, the boundary condition, and the initial condition are presented in a dimensionless form. The numerical algorithm based on finite-difference method and the least-squares scheme for solving the inverse problem. To regularize the resultant ill-conditioned linear system of equations, we apply the Tikhonov regularization method with L- curve scheme to obtain the stable numerical approximation to the solution.
R. Pourgholi and M. Rostamian. (2024). A stable numerical algorithm for solving an inverse parabolic problem. Journal of Information and Computing Science. 4 (4). 290-298. doi:
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