Application of Local Fractional Homotopy Perturbation Method in Physical Problems
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-19
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Nonlinear phenomena have important effects on applied mathematics, physics, and issues related to engineering.
Most physical phenomena are modeled according to partial differential equations.
It is difficult for nonlinear models to obtain the closed form of the solution, and in many cases, only an approximation of the real solution can be obtained.
The perturbation method is a wave equation solution using HPM compared with the Fourier series method, and both methods results are good agreement.
The percentage of error of ux,t with α=1 and 0.33, t =0.1 sec, between the present research and Yong-Ju Yang study for x≥0.6 is less than 10.
Also, the % error for x≥0.5 in α=1 and 0.33, t =0.3 sec, is less than 5, whereas for α=1 and 0.33, t =0.8 and 0.7 sec, the % error for x≥0.4 is less than 8.
American Psychological Association (APA)
Habibi, Nabard& Nouri, Zohre. 2020. Application of Local Fractional Homotopy Perturbation Method in Physical Problems. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1127314
Modern Language Association (MLA)
Habibi, Nabard& Nouri, Zohre. Application of Local Fractional Homotopy Perturbation Method in Physical Problems. Advances in Mathematical Physics No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1127314
American Medical Association (AMA)
Habibi, Nabard& Nouri, Zohre. Application of Local Fractional Homotopy Perturbation Method in Physical Problems. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1127314
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127314