The VIM for solving a nonlinear inverse parabolic problem
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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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