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Volume 9, Issue 2
The VIM for solving a nonlinear inverse parabolic problem

M. Rostamian and A.M. Shahrezaee

J. Info. Comput. Sci. , 9 (2014), pp. 106-112.

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  • Abstract
In this paper, we will use the variational iteration method (VIM) for the determination of unknown coefficients in an inverse heat conduction problem (IHCP). The VIM, which is a modified general Lagrange multiplier method, has been attracted a lot of attention of the researchers for solving different problems. Applying this technique, a rapid convergent sequence to the exact solution is produced. Moreover, this method does not require any discretization, linearization or small perturbation. Therefore it can be considered as an efficient method to solve the various kinds of problems. To show the strength of the method, some examples are given.
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@Article{JICS-9-106, author = {M. Rostamian and A.M. Shahrezaee}, title = {The VIM for solving a nonlinear inverse parabolic problem}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {9}, number = {2}, pages = {106--112}, abstract = { In this paper, we will use the variational iteration method (VIM) for the determination of unknown coefficients in an inverse heat conduction problem (IHCP). The VIM, which is a modified general Lagrange multiplier method, has been attracted a lot of attention of the researchers for solving different problems. Applying this technique, a rapid convergent sequence to the exact solution is produced. Moreover, this method does not require any discretization, linearization or small perturbation. Therefore it can be considered as an efficient method to solve the various kinds of problems. To show the strength of the method, some examples are given. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22587.html} }
TY - JOUR T1 - The VIM for solving a nonlinear inverse parabolic problem AU - M. Rostamian and A.M. Shahrezaee JO - Journal of Information and Computing Science VL - 2 SP - 106 EP - 112 PY - 2024 DA - 2024/01 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22587.html KW - IHCPs, VIM, Convergent sequence, Lagrange multiplier, Exact solution. AB - In this paper, we will use the variational iteration method (VIM) for the determination of unknown coefficients in an inverse heat conduction problem (IHCP). The VIM, which is a modified general Lagrange multiplier method, has been attracted a lot of attention of the researchers for solving different problems. Applying this technique, a rapid convergent sequence to the exact solution is produced. Moreover, this method does not require any discretization, linearization or small perturbation. Therefore it can be considered as an efficient method to solve the various kinds of problems. To show the strength of the method, some examples are given.
M. Rostamian and A.M. Shahrezaee. (2024). The VIM for solving a nonlinear inverse parabolic problem. Journal of Information and Computing Science. 9 (2). 106-112. doi:
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