Annals of Mathematical Modeling
Vol 2, No 1 (2020)

Numerical evaluation for two-dimensional integral using higher order Gaussian quadrature

Suzarina Ahmed Sukri (Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia)
Yeak Su Hoe (Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia)
Taufiq Khairi Ahmad Khairuddin (UTM Centre for Industrial and Applied Mathematics (UTM CIAM), Faculty of Science, Universiti Teknologi Malaysia)



Article Info

Publish Date
18 Aug 2020

Abstract

Presented in this paper is a computational approach that uses higher order Gaussian quadrature to improve the accuracy of the evaluation of an integral. The transformation from space (standard Gaussian) to st space (higher order Gaussian) were shown throughout this paper. Not even that, the efficacy of this higher order Gaussian quadrature were tested by implementing and comparing it with standard Gaussian quadrature over the same integral. Results shown that the evaluation of an integral by using higher order Gaussian quadrature provide accurate and converge results compared to an integral using standard Gaussian quadrature.

Copyrights © 2020






Journal Info

Abbrev

AMM

Publisher

Subject

Computer Science & IT Mathematics

Description

nnals of Mathematical Modeling integrates authoritative reports on current mathematical, articles cover a wide range of topics, including mathematical analyses, probability, statistics, cybernetics, algebra, geometry, mathematical physics, wave propagation, stochastic processes, boundary value ...