Gauss-Radau Quadrature Rule Using Special Class of Polynomials

— A form of Gauss-Quadrature rule over [0,1] has been investigated that involves the derivative of the integrand at the pre-assigned left or right end node. This situation arises when the underlying polynomials are orthogonal with respect to the weight function ( ) : 1x xω = − over [0,1]. Along the lines of Golub’s work, the nodes and weights of the quadrature rule are computed from a Jacobi-type matrix with entries related to simple rational sequences. The structure of these sequences is based on some characteristics of the identity-type polynomials recently developed by one of the authors. The devised rule has a slight

• Type: Conference
• Year: 2007
• Where: WCE
• Authors: M. A. Bokhari, Asghar Qadir
• Keywords: Gauss-Quadrature Rule, Pre-assigned Left, Right End Node, WCE 2007, WCE 2008