Solving first kind linear Fredholm integral equations with semi-smooth kernel using 2-point half-sweep block arithmetic mean method

This paper investigates the application of the 2-Point Half-Sweep Block Arithmetic Mean (2-HSBLAM) iterative method with first order composite closed Newton-Cotes quadrature scheme for solving first kind linear Fredholm integral equations. The formulation and implementation of the method are present...

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Main Authors: Muthuvalu, M.S., Aruchunan, E., Sulaiman, J.
Format: Conference or Workshop Item
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.32629 /
Published: 2013
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84887103332&doi=10.1063%2f1.4823934&partnerID=40&md5=7936182a42568ac014ebeac11d857f2c
http://eprints.utp.edu.my/32629/
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spelling utp-eprints.326292022-03-29T14:08:08Z Solving first kind linear Fredholm integral equations with semi-smooth kernel using 2-point half-sweep block arithmetic mean method Muthuvalu, M.S. Aruchunan, E. Sulaiman, J. This paper investigates the application of the 2-Point Half-Sweep Block Arithmetic Mean (2-HSBLAM) iterative method with first order composite closed Newton-Cotes quadrature scheme for solving first kind linear Fredholm integral equations. The formulation and implementation of the method are presented. In addition, numerical results of test problems are also included to verify the performance of the method compared to existing Arithmetic Mean (AM) and 2-Point Full-Sweep Block Arithmetic Mean (2-FSBLAM) methods. From the numerical results, it is noticeable that the 2-HSBLAM method is superior than AM and 2-FSBLAM methods in terms of computational time. © 2013 AIP Publishing LLC. 2013 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-84887103332&doi=10.1063%2f1.4823934&partnerID=40&md5=7936182a42568ac014ebeac11d857f2c Muthuvalu, M.S. and Aruchunan, E. and Sulaiman, J. (2013) Solving first kind linear Fredholm integral equations with semi-smooth kernel using 2-point half-sweep block arithmetic mean method. In: UNSPECIFIED. http://eprints.utp.edu.my/32629/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description This paper investigates the application of the 2-Point Half-Sweep Block Arithmetic Mean (2-HSBLAM) iterative method with first order composite closed Newton-Cotes quadrature scheme for solving first kind linear Fredholm integral equations. The formulation and implementation of the method are presented. In addition, numerical results of test problems are also included to verify the performance of the method compared to existing Arithmetic Mean (AM) and 2-Point Full-Sweep Block Arithmetic Mean (2-FSBLAM) methods. From the numerical results, it is noticeable that the 2-HSBLAM method is superior than AM and 2-FSBLAM methods in terms of computational time. © 2013 AIP Publishing LLC.
format Conference or Workshop Item
author Muthuvalu, M.S.
Aruchunan, E.
Sulaiman, J.
spellingShingle Muthuvalu, M.S.
Aruchunan, E.
Sulaiman, J.
Solving first kind linear Fredholm integral equations with semi-smooth kernel using 2-point half-sweep block arithmetic mean method
author_sort Muthuvalu, M.S.
title Solving first kind linear Fredholm integral equations with semi-smooth kernel using 2-point half-sweep block arithmetic mean method
title_short Solving first kind linear Fredholm integral equations with semi-smooth kernel using 2-point half-sweep block arithmetic mean method
title_full Solving first kind linear Fredholm integral equations with semi-smooth kernel using 2-point half-sweep block arithmetic mean method
title_fullStr Solving first kind linear Fredholm integral equations with semi-smooth kernel using 2-point half-sweep block arithmetic mean method
title_full_unstemmed Solving first kind linear Fredholm integral equations with semi-smooth kernel using 2-point half-sweep block arithmetic mean method
title_sort solving first kind linear fredholm integral equations with semi-smooth kernel using 2-point half-sweep block arithmetic mean method
publishDate 2013
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-84887103332&doi=10.1063%2f1.4823934&partnerID=40&md5=7936182a42568ac014ebeac11d857f2c
http://eprints.utp.edu.my/32629/
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score 11.62408