GENERALIZED DIFFERENTIAL AND INTEGRAL QUADRATURE AND THEIR APPLICATION TO SOLVE BOUNDARY-LAYER EQUATIONS

Based on the work of generalized differential quadrature (GDQ), a glob al method of generalized integral quadrature (GIQ) is developed in thi s paper for approximating an integral of a function over a part of the closed domain. GIQ approximates the integral of a function over the p art of the whole closed domain by a linear combination of all the func tional values in the whole domain with higher order of accuracy. The w eighting coefficients of GIQ can be easily determined from those of GD Q. Applications of GDQ and GIQ to solve boundary layer equations demon strated that accurate numerical results can be obtained using just a f ew grid points.