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Browsing by Author "Abu Rqayiq, Abdullah"

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    Citation Count: Momani, S., Abu Rqayiq, A., Baleanu, D. (2012). A nonstandard finite difference scheme for two-sided space-fractional partial differential equations. International Journal of Bifurcation And Chaos, 22(4), 1-5. http://dx.doi.org/10.1142/S0218127412500794
    A nonstandard finite difference scheme for two-sided space-fractional partial differential equations
    (World Scientific, 2012) Momani, Shaher; Abu Rqayiq, Abdullah; Baleanu, Dumitru
    In this paper, we apply the Mickens nonstandard discretization method to solve a class of initial-boundary value fractional partial differential equations with variable coefficients on a finite domain, and thereby increase the accuracy of the solutions. We examine the case when a left-handed and a right-handed fractional spatial derivative may be present in the partial differential equation. Two numerical examples using this method are presented and compared successfully with the exact analytical solutions.