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

    Authors: contact us about adding a copy of your work at [email protected]

    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

    Share

    COinS
     

    Accessibility Statement

    This item was created or digitized prior to April 24, 2027, or is a reproduction of legacy media created before that date. It is preserved in its original, unmodified state specifically for research, reference, or historical recordkeeping. In accordance with the ADA Title II Final Rule, the University Libraries provides accessible versions of archival materials upon request. To request an accommodation for this item, please submit an accessibility request form.