Browsing by Subject "Homotopy Polynomials"

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A New Numerical Algorithm For Fractional Fitzhugh-Nagumo Equation Arising in Transmission of Nerve Impulses

Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru (Springer, 2018-01)

The principal objective of this study is to present a new numerical scheme based on a combination of q-homotopy analysis approach and Laplace transform approach to examine the Fitzhugh-Nagumo (F-N) equation of fractional ...
Analytic study of allen-cahn equation of fractional order

Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru (Int Center Scientific Research & Studies, 2017)

The key purpose of the present article is to analyze the Allen Cahn equation of fractional order. The fractional Allen-Cahn equation models the process of phase separation in iron alloys, along with order-disorder transitions. ...
Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water waves

Kumar, Sunil; Kumar, Amit; Baleanu, Dumitru (Springer, 2016-07)

In this paper, an analytical method based on the generalized Taylors series formula together with residual error function, namely residual power series method (RPSM), is proposed for finding the numerical solution of the ...

Now showing items 1-3 of 3

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