NUMERICAL SOLUTION OF TIME-FRACTIONAL ORDER FOKKER-PLANCK EQUATION

In this article, new iterative method (NIM) is employed to find the numerical solution of linear and nonlinear time-fractional order Fokker-Planck equation (FPE), which is applied in many fields of engineering and applied science. The introduced technique renders an analytical solution in the form o...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 9; no. 3; p. 446
Main Authors Prakash, Amit, Kumar, Manoj
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2019
Elman Hasanoglu
Subjects
Differential equations
Exact solutions
Fokker-Planck equation
Iterative methods
Mathematical models
Mathematical research
Mathematicians
Partial differential equations
India
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ISSN2146-1147
2146-1147

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Summary:In this article, new iterative method (NIM) is employed to find the numerical solution of linear and nonlinear time-fractional order Fokker-Planck equation (FPE), which is applied in many fields of engineering and applied science. The introduced technique renders an analytical solution in the form of a convergent series with easily computable components without using any restrictive assumptions. Three numerical examples are tested using this method. Plotted graph illustrate the efficiency and accuracy of the proposed method. Keywords: Fokker-Planck equation; New iterative method (NIM); Analytic solution, Caputo fractional derivative. AMS Subject Classification: 74S30.
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ISSN:2146-1147
2146-1147