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Volume 10, Issue 2
Application of homotopy perturbation and Adomian dec- omposition methods for solving an inverse heat problem

F. Parzlivand and A. M. Shahrezaee

J. Info. Comput. Sci. , 10 (2015), pp. 137-147.

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  • 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.
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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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