Browsing by Author "yiğit aksoy"

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    A new perturbation-iteration approach for first order differential equations
    (2011) Mehmet PAKDEMİRLİ; yiğit aksoy; Hakan BOYACI
    Two new perturbation-iteration algorithms for solving differential equations of first order are proposed. Variants of the algorithm are developed depending on the differential order of Taylor series expansions. The iteration algorithms are tested on a number of first order equations. Much better solutions than the regular perturbation solutions are achieved.
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    SIMILARITY SOLUTIONS FOR BOUNDARY LAYER EQUATIONS OF A POWEL-EYRING FLUID
    (2013) yiğit aksoy; Mehmet PAKDEMİRLİ; Tasawar HAYAT
    Boundary layer equations are derived for the first time for the Powel-Eyring fluid model, a non-Newtonian model proposed for pseudoplastic behavior. Using a scaling symmetry of the equations, partial differential system is transferred to an ordinary differential system. Resulting equations are numerically solved using a finite difference algorithm. Effects of non-Newtonian parameters on the solutions are discussed.