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Dergiler / TWMS Journal of Applied and Engineering Mathematics / 2019 / Cilt: 9 - Sayı: 3

NUMERICAL SOLUTION OF TIME-FRACTIONAL ORDER FOKKER-PLANCK EQUATION

A. PRAKASH
M. KUMAR
Sayfa
446–454
Yayın Tarihi
2019-09-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Plotted graph illustrate the eciency and accuracy of the proposed method.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this article, new iterative method NIM is employed to nd the numerical solution of linear and nonlinear time-fractional order Fokker-Planck equation FPE , which is applied in many elds of engineering and applied science.
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Temel Bulgular & Veri:The introduced technique renders an analytical solution in the form of a convergent series with easily computable components without using any restrictive assumptions.
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Sonuç & Katkı:Plotted graph illustrate the eciency and accuracy of the proposed method.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fokker-Planck equation · New iterative method NIM · Analytic solution

Abstract

In this article, new iterative method NIM is employed to nd the numerical solution of linear and nonlinear time-fractional order Fokker-Planck equation FPE , which is applied in many elds 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 eciency and accuracy of the proposed method.

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Bu Makaleye Atıf Yap

PRAKASH, A., KUMAR, M. (2019). NUMERICAL SOLUTION OF TIME-FRACTIONAL ORDER FOKKER-PLANCK EQUATION. TWMS Journal of Applied and Engineering Mathematics, Cilt: 9 - Sayı: 3, 446–454. https://ajindex.com/articles/846297

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Kaynakça (12)

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  3. He, J. H., (1999), Variational iteration method a kind of non-linear analytical technique: some examples, Int. J. Nonlinear Mech., 34, pp. 699-708.
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  6. Prakash, A. and Kumar, M., (2016), Numerical solution of two dimensional time fractional-order biological population model, Open Physics, 14, pp. 177186. Prakash, A. and Kumar, M., (2017), Numerical method for solving time fractional multi-dimensional diffusion equations, Int. J. Computing Science and Mathematics, 8(3), pp. 257-267.
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  8. Prakash, A., (2016), Analytical method for space-fractional telegraph equation by homotopy petur bation transform method, Nonlinear Engineering, 5(2), pp. 123-128.
  9. Kumar, S., Kocak, H. and Yildirim, A.,(2012), A fractional model of gas dynamics equations and its analytical approximate solution using Laplace transform, Z. Naturforsch, 67a, pp. 389-396.
  10. Kumar. S, Yildirim, A., Khan, Y. and Wei, L., (2012), A fractional model of the diffusion equation and its analytical solution using Laplace transform, Sci. Iran. B, 19 (4), pp. 1117-1123.
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  12. Kumar, D., Singh, J. and Baleanu, D., (2017), A new analysis for fractional model of regularized long- wave equation arising in ion acoustic plasma waves, Math. Meth. Appl. Sci., DOI: 10.1002/mma.4414. Singh, J., Kumar, D., Swroop, R. and Kumar, S., (2017), An efficient computational approach for time-fractional Rosenau-Hyman equation, Neural Computing