... of nonlinear differential equation 17 , when p → 1 will be as follows: 33 S ( y ) = ∑ i = 0 n w i ( y ) Generally speaking, the operator A can be decomposed into two parts, which are L and N , where L is linear and N is nonlinear. Hence, Eq. 20 can...

... . Table 1 is prepared for the convergence of series solutions. It is found that the convergence is achieved at the 20 th order of approximations. 19 01 2011 16 05 2011 15 06 2011 15 06 2011 channel flow magnetohydrodynamics nonlinear differential equations non...

... parameters. A comparison of the present results with the existing numerical solution is discussed in a limiting sense. 12 11 2010 19 01 2011 22 02 2011 22 02 2011 convergence of numerical methods flow simulation heat transfer microfluidics nonlinear differential equations...

... layers convection external flows iterative methods laminar flow nonlinear differential equations partial differential equations Runge-Kutta methods vertical plate boundary layer flow heat transfer local Grashof number convective parameter Convective heat transfer studies are very...

... ‴ H − r 3 H ″ H − r 4 H ″ H ′ − r 3 H ′ 2 − 3 r 2 H ′ H + 4 r H 2 Equation 8 is a fourth-order nonlinear differential equation and therefore, four boundary conditions are needed for its solution. The associated boundary conditions in terms...

... estimation of the modal amplitudes from real-time surface pressure measurements. 16 08 2006 22 01 2007 subsonic flow confined flow flow control Galerkin method Navier-Stokes equations flow visualisation laser velocimetry pressure measurement nonlinear differential equations...

... pressure C p , mix . Invoking the similarity variable transformation, the system of two nonlinear differential equations is solved numerically by the shooting method and a fourth-order Runge-Kutta-Fehlberg algorithm. From the numerical temperature fields, the allied mean convection coefficients h ¯ mix ∕ B...

... . 10 06 2004 08 01 2005 slip flow heat transfer rotational flow nonlinear differential equations In this study the equations of motion derived by von Karman ( 1 ), with Benton’s transformations ( 2 ) for the flow over a single free disk is studied for the slip flow. The slip...