Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet
Abbreviated Journal Title
Math. Meth. Appl. Sci.
existence results; nonlinear boundary value problems; Runge-Kutta; method; similarity solutions; Schauder theory; CONTINUOUS SOLID SURFACES; VISCOUS-FLOW; FLUID; DIFFUSION; BEHAVIOR; Mathematics, Applied
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.
Mathematical Methods in the Applied Sciences
"Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet" (2010). Faculty Bibliography 2010s. 6936.