Performance analysis of Arithmetic Mean method for solving composite 6-point closed Newton–Cotes quadrature algebraic equation-Reference-Cited by-同舟云学术

Performance analysis of Arithmetic Mean method for solving composite 6-point closed Newton–Cotes quadrature algebraic equation

Published:2019-07-02 Issue:04 Volume:12 Page:1950061
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Muthuvalu Mohana Sundaram¹^ORCID,Galligani Emanuele²,Ali Majid Khan Majahar³,Sulaiman Jumat⁴,Lebelo Ramoshweu Solomon⁵

Affiliation:

1. Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, 32610 Seri Iskandar, Perak, Malaysia

2. Department of Engineering “Enzo Ferrari”, Università di Modena e Reggio Emilia, Strada Vignolese 905/A, I-41125, Modena, Italy

3. Centre for Mathematical Sciences, Universiti Sains Malaysia, 11800 Gelugor, Penang, Malaysia

4. Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Jalan UMS, 88400 Kota Kinabalu, Sabah, Malaysia

5. Education Department, Vaal University of Technology, Andries Potgieter Blvd, Vanderbijlpark, 1911, South Africa

Abstract

The main focus of the paper is to study the performance of Arithmetic Mean (AM) iterative method in solving large and nonsingular dense linear system arising from the composite 6-point closed Newton–Cotes quadrature (6-CCNC) approximation of inhomogeneous linear Fredholm integral equations of the second kind. The derivation and implementation of the method are discussed. Some numerical results are also presented.

Funder

Ministry of Higher Education, Malaysia

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179355711950061X

Reference23 articles.

1. Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices

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