A quintic spline collocation procedure for solving the FalknerSkan boundarylayer equation
Abstract
A quintic spline collocation method is used to numerically solve the FalknerSkan similarity boundarylayer equation for a wide range of pressure gradient parameter, both favorable and adverse, and wall mass transfer, both injection and suction. Through proper choice of the parameter in a constant ratio interval variablegrid system, extremely accurate solutions are obtained with as few as seven grid points across the boundary layer. It is suggested that perhaps the method and grid system can be coupled to yield an optimal node distribution technique which will allow highly accurate solutions with few grid points and minimum discretion on the part of the user.
 Publication:

Computer Methods in Applied Mechanics and Engineering
 Pub Date:
 February 1981
 DOI:
 10.1016/00457825(81)900815
 Bibcode:
 1981CMAME..25..129M
 Keywords:

 Boundary Layer Equations;
 Collocation;
 Computational Fluid Dynamics;
 FalknerSkan Equation;
 Finite Difference Theory;
 Spline Functions;
 Fluid Injection;
 Mass Transfer;
 Mesh;
 Polynomials;
 Pressure Gradients;
 Suction;
 Tables (Data);
 Fluid Mechanics and Heat Transfer