Numerical Approach for Evaluation of Surface Integrals in Polygonal Domain by Gauss Legendre Quadrature and Generalized Gaussian Quadrature Method

Authors

  • A.M. Yogitha Department of Mathematics, Dayananda Sagar College of Engineering, Bangalore-560078, India
  • K.T. Shivaram Department of Mathematics, Dayananda Sagar College of Engineering, Bangalore-560078, India
  • S. Kiran Department of Mathematics, Nitte Meenakshi Institute of Technology, Bangalore-560064, India

DOI:

https://doi.org/10.15379/ijmst.v10i1.2791

Keywords:

Numerical Integration, Polygonal Domain, Rational Function, Irrational Function, Quadrature Methods

Abstract

We present a new approach for the numerical  integration of arbitrary functions over polygonal region, by applying two kinds of quadrature method Gauss Legendre quadrature  and Generalized Gaussian quadrature method, the polygonal region is divided into arbitrary triangles, the sides of each triangle is noted as equation of straight line by joining two end vertices, this approach is used to further reduces the integral equations, numerical integration of rational and irrational functions are approximated computationally, we illustrate several numerical examples to shows the accuracy of the present method 

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Published

2023-10-19

How to Cite

[1]
A. . Yogitha, K. . Shivaram, and S. Kiran, “Numerical Approach for Evaluation of Surface Integrals in Polygonal Domain by Gauss Legendre Quadrature and Generalized Gaussian Quadrature Method”, ijmst, vol. 10, no. 1, pp. 1146-1150, Oct. 2023.