An integral spline method for boundary layer equations
Abstract
An integral procedure using spline polynomials is described for the twodimensional boundary layer equations. It is a modified finite element formulation, where each term in the equations, rather than each independent variable, is approximated with a spline curve fit. For the boundary layer equations in divergence form it is shown that the spline modified finite element approach is equivalent to the class of twopoint methods proposed by Keller (1975). It is shown that the Keller box scheme difference system can be reduced to an equivalent threepoint system. A simpler procedure for obtaining the tridiagonal form of the Keller box scheme equations can be derived from the modified finite element method.
 Publication:

Computers and Fluids
 Pub Date:
 March 1979
 Bibcode:
 1979CF......7...75R
 Keywords:

 Boundary Layer Equations;
 Finite Element Method;
 Spline Functions;
 Two Dimensional Boundary Layer;
 Conservation Equations;
 Finite Difference Theory;
 Fluid Mechanics and Heat Transfer