Numerical solution for fractional model of Fokker-Planck equation by using q-HATM

Amit Prakash and Hardish Kaur

Chaos, Solitons & Fractals, 2017, vol. 105, issue C, 99-110

Abstract: In this paper, we present a hybrid computational algorithm which is an inventive reconciliation of q-homotopy analysis method (q-HAM) and Laplace transform (LT) to procure the solution of time- fractional and space-time fractional Fokker-Planck equation. The proposed method gives an analytical solution in the form of a convergent series with easily computable components. The outcomes disclose that the present approach is user friendly and an appropriate selection of auxiliary parameters h and n (n ≥ 1) gives more correct approximations identical to exact solution. The auxiliary parameter h in q-HATM provides a convenient way of controlling the convergence region of series solutions.

Keywords: Fokker-Planck equation; Laplace transform method; q-homotopy analysis transform method (q-HATM); Analytic solution (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:105:y:2017:i:c:p:99-110

DOI: 10.1016/j.chaos.2017.10.003

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