| Title: | Semi-analytical method for solving Fokker-Planck's equations |
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| Authors: | ID Al-Jawary, Majeed Ahmed (Author)
ID Radhi, Ghassan Hasan (Author)
ID Ravnik, Jure (Author) |
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| Files: |  Journal_of_the_Association_of_Arab_Universities_for_Basic_and_Applied_Sciences_2017_AL-Jawary,_Radhi,_Ravnik_Semi-analytical_m.pdf (476,67 KB)
MD5: FA3A70E76B9714ECD5C094436059F6F1
PID: 20.500.12556/dkum/d5c3f65b-41db-43f8-a992-4066ea1f17e0
 http://linkinghub.elsevier.com/retrieve/pii/S1815385217300421
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FS - Faculty of Mechanical Engineering
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| Abstract: | In this paper, the linear and nonlinear Fokker-Planck equations (FPE) are solved by a semi-analytical iterative technique. This technique was proposed by Temimi and Ansari (TAM) in 2011. It is used to obtain the exact solutions for the 1D, 2D and 3D FPE. We solve several linear and nonlinear examples to show that the method is efficient and applicable. The results demonstrate that the presented method is very effective and reliable and does not require any restrictive assumptions for nonlinear terms. A symbolic manipulator Mathematica®10 was used to evaluate terms in the iterative process. |
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| Keywords: | Fokker-Planck's equation, semi-analytical method, analytic solution, Brownian motion, Kolmogorov's equation |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2017 |
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| Number of pages: | str. 254-262 |
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| Numbering: | Letn. 2017, št. 24 |
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| PID: | 20.500.12556/DKUM-68862  |
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| ISSN: | 1815-3852 |
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| UDC: | 536:519.6 |
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| ISSN on article: | 1815-3852 |
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| COBISS.SI-ID: | 20901142 |
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| DOI: | 10.1016/j.jaubas.2017.07.001 |
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| NUK URN: | URN:SI:UM:DK:EKVRBSHV |
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| Publication date in DKUM: | 03.11.2017 |
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| Views: | 1775 |
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| Downloads: | 428 |
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| Metadata: |    |
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| Categories: | Misc.
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