ITERATIVE METHODS FOR SOLVING NON-LINEAR FOKKER-PLANCK EQUATION

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SADIGH BEHZADI SH.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2011 | Volume:3 | Issue:3 Page(s): 143-156

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Information Journal Paper

Title

ITERATIVE METHODS FOR SOLVING NON-LINEAR FOKKER-PLANCK EQUATION

Author(s)

SADIGH BEHZADI SH. | Issue Writer Certificate

Keywords

FOKKER-PLANCK EQUATION

MODIFIED ADOMIAN DECOMPOSITION METHOD

VARIATIONAL ITERA TION METHOD

HOMOTOPY ANALYSIS METHOD

Abstract

In this paper, a nonlinear FOKKER-PLANCK EQUATION is solved by using the modified Ado-mian decomposition method (MADM), variational iteration method (VIM) and HOMOTOPY ANALYSIS METHOD (HAM). For each method, the approximate solution of this equation is calculated in the form of the series which its components are computed by a recursive rela- tion. In some theorems, the uniqueness of the solution (if it exists) and the convergence of the proposed methods are proved. Finally, a numerical example is solved to demonstrate the accuracy of the mentioned methods.

Cites

HOMOTOPY ANALYSIS SUMUDU TRANSFORM METHOD FOR NONLINEAR EQUATIONS

References

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APA: Copy

SADIGH BEHZADI, SH.. (2011). ITERATIVE METHODS FOR SOLVING NON-LINEAR FOKKER-PLANCK EQUATION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 3(3), 143-156. SID. https://sid.ir/paper/581191/en

Vancouver: Copy

SADIGH BEHZADI SH.. ITERATIVE METHODS FOR SOLVING NON-LINEAR FOKKER-PLANCK EQUATION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2011;3(3):143-156. Available from: https://sid.ir/paper/581191/en

IEEE: Copy

SH. SADIGH BEHZADI, “ITERATIVE METHODS FOR SOLVING NON-LINEAR FOKKER-PLANCK EQUATION,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 3, no. 3, pp. 143–156, 2011, [Online]. Available: https://sid.ir/paper/581191/en

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