NUMERICAL EVALUATION OF LINEAR CONVEX QUADRILATERAL DOMAIN INTEGRALS BY USE OF GAUSS LEGENDRE QUADRATURE RULE
K. T. SHIVARAM *
Department of Mathematics, Dayananda Sagar College of Engineering, Karnataka, India.
A. M. YOGITHA
Department of Mathematics, City Engineering College, Karnataka, India.
*Author to whom correspondence should be addressed.
Abstract
This paper presents a Gauss Legendre quadrature have been applied for numerical evaluation of integral of the form I ≈ ∫∫Ω f(x,y)dx dy, where f(x,y) is arbitrary function and bounded by the convex quadrilateral region Ω . We compare the numerical results with Md. Shafiqul Islam et al. [3]. The performance of the method is illustrated with numerical examples.
Keywords: Finite element method, numerical integration, Gauss Legendre quadrature