Browsing by Publisher "Ain Shams University"

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    A numerical approach for solving linear integro-differential-difference equations with Boubaker polynomial bases
    (Ain Shams University, 2012) Yalçinbaş S.; Akkaya T.
    In this paper, a new collocation method, which is based on Boubaker polynomials, is introduced for the approximate solutions of mixed linear integro-differential-difference equations under the mixed conditions. The aim of this article is to present the applicability and validity of the technique and the comparisons are made with the existing results. The results demonstrate the accuracy and efficiency of the present work. © 2011 Ain Shams University. Production and hosting by Elsevier B.V. All rights reserved.
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    Frenet frames and invariants of timelike ruled surfaces
    (Ain Shams University, 2013) Önder M.; Uǧurlu H.H.
    In this study we give the Frenet frames and Frenet invariants of timelike ruled surfaces. We show that a timelike ruled surface and its directing cone have the same base of Frenet frame. We define instantaneous rotation vectors of the Frenet frames of timelike ruled surfaces. Also we prove the Chasles Theorem for timelike ruled surfaces. © 2012 Ain Shams University. Production and hosting by Elsevier B.V. All rights reserved.