Application of homotopy perturbation and Adomian dec- omposition methods for solving an inverse heat problem
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@Article{JICS-10-137,
author = {F. Parzlivand and A. M. Shahrezaee},
title = {Application of homotopy perturbation and Adomian dec- omposition methods for solving an inverse heat problem},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {10},
number = {2},
pages = {137--147},
abstract = { In this paper, the homotopy perturbation method is proposed to solve an inverse problem of
finding an unknown function in parabolic equation with overspecified data. Comparison is made between
Adomian decomposition method and the proposed method. It is shown; Adomian decomposition method is
equivalent to the homotopy perturbation method in the model problem. To show the efficiency of these
methods, several test problems are presented for one-, two- and three-dimensional cases. Comparison of the
applied methods with exact solutions reveals that both methods are tremendously effective.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22556.html}
}
TY - JOUR
T1 - Application of homotopy perturbation and Adomian dec- omposition methods for solving an inverse heat problem
AU - F. Parzlivand and A. M. Shahrezaee
JO - Journal of Information and Computing Science
VL - 2
SP - 137
EP - 147
PY - 2024
DA - 2024/01
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22556.html
KW - Homotopy perturbation method (HPM), Adomian decomposition method (ADM), inverse
parabolic problem, integral overspecified data.
AB - In this paper, the homotopy perturbation method is proposed to solve an inverse problem of
finding an unknown function in parabolic equation with overspecified data. Comparison is made between
Adomian decomposition method and the proposed method. It is shown; Adomian decomposition method is
equivalent to the homotopy perturbation method in the model problem. To show the efficiency of these
methods, several test problems are presented for one-, two- and three-dimensional cases. Comparison of the
applied methods with exact solutions reveals that both methods are tremendously effective.
F. Parzlivand and A. M. Shahrezaee. (2024). Application of homotopy perturbation and Adomian dec- omposition methods for solving an inverse heat problem.
Journal of Information and Computing Science. 10 (2).
137-147.
doi:
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