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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2013
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my.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/ |
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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_facet |
Muthuvalu, M.S. Aruchunan, E. Sulaiman, J. |
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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1738657413627641856 |
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13.251813 |