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Volume 10, Issue 2
Application of HPM for determination of an unknown function in a semi-linear parabolic equation

Malihe Rostamian and AlimardanShahrezaee

J. Info. Comput. Sci. , 10 (2015), pp. 114-123.

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  • Abstract
In this work, the homotopy perturbation method, a powerful technique, is applied to obtain an unknown time-dependent function in a semi-linear parabolic equation with given initial and boundary conditions. This kind of problem plays a very important role in many branches of science and engineering. Using the homotopy perturbation method a rapid convergent sequence can be constructed which tends to the exact solution of the problem. Some examples are presented to illustrate the strength of the method.
  • Keywords

Inverse problem, Semi-linear parabolic equation, Homotopy perturbation method.

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COPYRIGHT: © Global Science Press

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@Article{JICS-10-114, author = {Malihe Rostamian and AlimardanShahrezaee}, title = {Application of HPM for determination of an unknown function in a semi-linear parabolic equation}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {10}, number = {2}, pages = {114--123}, abstract = {In this work, the homotopy perturbation method, a powerful technique, is applied to obtain an unknown time-dependent function in a semi-linear parabolic equation with given initial and boundary conditions. This kind of problem plays a very important role in many branches of science and engineering. Using the homotopy perturbation method a rapid convergent sequence can be constructed which tends to the exact solution of the problem. Some examples are presented to illustrate the strength of the method. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22554.html} }
TY - JOUR T1 - Application of HPM for determination of an unknown function in a semi-linear parabolic equation AU - Malihe Rostamian and AlimardanShahrezaee JO - Journal of Information and Computing Science VL - 2 SP - 114 EP - 123 PY - 2024 DA - 2024/01 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22554.html KW - Inverse problem, Semi-linear parabolic equation, Homotopy perturbation method. AB - In this work, the homotopy perturbation method, a powerful technique, is applied to obtain an unknown time-dependent function in a semi-linear parabolic equation with given initial and boundary conditions. This kind of problem plays a very important role in many branches of science and engineering. Using the homotopy perturbation method a rapid convergent sequence can be constructed which tends to the exact solution of the problem. Some examples are presented to illustrate the strength of the method.
Malihe Rostamian and AlimardanShahrezaee. (2024). Application of HPM for determination of an unknown function in a semi-linear parabolic equation. Journal of Information and Computing Science. 10 (2). 114-123. doi:
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