Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet

    Authors

    F. T. Akyildiz; D. A. Siginer; K. Vajravelu; J. R. Cannon;R. A. Van Gorder

    Comments

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    Abbreviated Journal Title

    Math. Meth. Appl. Sci.

    Keywords

    existence results; nonlinear boundary value problems; Runge-Kutta; method; similarity solutions; Schauder theory; CONTINUOUS SOLID SURFACES; VISCOUS-FLOW; FLUID; DIFFUSION; BEHAVIOR; Mathematics, Applied

    Abstract

    Consideration is given to a class of nonlinear third-order differential equations arising in fluid flow over a nonlinearly stretching sheet. Existence of a solution of the nonlinear third-order differential equation over 0 < eta < infinity is established in this paper, answering the open question of Vajravelu and Cannon (Appl. Math. Comput. 2006; 181:609-618). That is, we prove with estimates independent of R for solutions of the third-order differential equation on [0,R]. The existence of a solution on 0 < eta < infinity follows from the Ascoli-Arzela Theorem. Furthermore, numerical solutions are obtained and presented through graphs, and the influence of the physical parameter on the flow characteristics is discussed. Copyright (C) 2009 John Wiley & Sons, Ltd.

    Journal Title

    Mathematical Methods in the Applied Sciences

    Volume

    33

    Issue/Number

    5

    Publication Date

    1-1-2010

    Document Type

    Article

    Language

    English

    First Page

    601

    Last Page

    606

    WOS Identifier

    WOS:000276134700005

    ISSN

    0170-4214

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