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Browsing by Author "Abu Rqayiq, Abdullah"

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    Citation - WoS: 22
    Citation - Scopus: 26
    A nonstandard finite difference scheme for two-sided space-fractional partial differential equations
    (World Scientific Publ Co Pte Ltd, 2012) Momani, Shaher; Abu Rqayiq, Abdullah; Baleanu, Dumitru; Matematik
    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.