Evaluation of real denite integrals by using of mixed quadrature rules over a Triangular Domain

Abstract

A mixed quadrature rule of higher precision for approximate evaluation of real definite integrals over a triangular domain has been constructed.The relative ecienciesof the proposed mixed quadrature rule has been veried by using suitable test inte-grals.In this paper we present a mixed quadrature i.e. mixed quadrature of anti-Lobatto rule and Fejer's rst rule in one variable.For real denite integral over the triangular surface : f(x; y)j0 x; y 1; x + y 1g in the Cartesian two dimensional (x,y) space.Mathematical transformation from (x,y) space to (; ) space maps the standard triangle in (x,y) space to a standard 2-square in (:) space: f(; )j 1 ; 1g.