| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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Operational Tau Approximation for the Fokker–Planck Equation |
| S. S. Dehcheshmeh*,S. Karimi Vanani,J. S. Hafshejani |
| Department of Mathematics, Islamic Azad University, Farsan Branch, Farsan, Iran |
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| Cite this article: |
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S. S. Dehcheshmeh, S. Karimi Vanani, J. S. Hafshejani 2012 Chin. Phys. Lett. 29 045201 |
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Abstract An extension of the operational Tau method (OTM) is used to solve the Fokker–Planck equation arising in many physical problems. This extension yields an algebraic equivalent representation of the desired problem using arbitrary polynomial basis functions to decrease the size of the computations. The structure, properties and advantages of the OTM are presented, and some illustrative linear and nonlinear experiments are given to show the capability and efficiency of the proposed algorithm.
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Received: 31 December 2011
Published: 04 April 2012
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| PACS: |
52.65.Ff
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(Fokker-Planck and Vlasov equation)
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02.60.Lj
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(Ordinary and partial differential equations; boundary value problems)
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02.60.Cb
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(Numerical simulation; solution of equations)
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