Numerical solutions of linear Fredholm Integral Equations using half-sweep arithmetic mean method
In this paper, performance of the 2-Point Half-Sweep Explicit Group (2-HSEG) iterative method with first order composite closed Newton-Cotes quadrature scheme for solving second kind linear Fredholm integral equations is investigated. The formulation and implementation of the method are described. F...
| Main Authors: | , , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2014
|
| Subjects: | |
| Online Access: | https://eprints.ums.edu.my/id/eprint/20677/1/Numerical%20solutions%20of%20first%20kind%20Linear%20Fredholm%20Integral%20Equations%20using%20quarter.pdf |
| _version_ | 1796910024524562432 |
|---|---|
| author | Mohana Sundaram Muthuvalu Sarat Dass Beh, Hoe Guan Jumat Sulaiman |
| author_facet | Mohana Sundaram Muthuvalu Sarat Dass Beh, Hoe Guan Jumat Sulaiman |
| author_sort | Mohana Sundaram Muthuvalu |
| collection | UMS |
| description | In this paper, performance of the 2-Point Half-Sweep Explicit Group (2-HSEG) iterative method with first order composite closed Newton-Cotes quadrature scheme for solving second kind linear Fredholm integral equations is investigated. The formulation and implementation of the method are described. Furthermore, numerical results of test problems are also presented to verify the performance of the method compared to 2-Point Full-Sweep Explicit Group (2-FSEG) method. From the numerical results obtained, it is noticeable that the 2-HSEG method is superior to 2-FSEG method, especially in terms of computational time. |
| first_indexed | 2024-03-06T02:58:18Z |
| format | Conference or Workshop Item |
| id | ums.eprints-20677 |
| institution | Universiti Malaysia Sabah |
| language | English |
| last_indexed | 2024-03-06T02:58:18Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | ums.eprints-206772018-08-03T02:57:57Z https://eprints.ums.edu.my/id/eprint/20677/ Numerical solutions of linear Fredholm Integral Equations using half-sweep arithmetic mean method Mohana Sundaram Muthuvalu Sarat Dass Beh, Hoe Guan Jumat Sulaiman QA Mathematics In this paper, performance of the 2-Point Half-Sweep Explicit Group (2-HSEG) iterative method with first order composite closed Newton-Cotes quadrature scheme for solving second kind linear Fredholm integral equations is investigated. The formulation and implementation of the method are described. Furthermore, numerical results of test problems are also presented to verify the performance of the method compared to 2-Point Full-Sweep Explicit Group (2-FSEG) method. From the numerical results obtained, it is noticeable that the 2-HSEG method is superior to 2-FSEG method, especially in terms of computational time. 2014 Conference or Workshop Item PeerReviewed text en https://eprints.ums.edu.my/id/eprint/20677/1/Numerical%20solutions%20of%20first%20kind%20Linear%20Fredholm%20Integral%20Equations%20using%20quarter.pdf Mohana Sundaram Muthuvalu and Sarat Dass and Beh, Hoe Guan and Jumat Sulaiman (2014) Numerical solutions of linear Fredholm Integral Equations using half-sweep arithmetic mean method. In: AIP Conference Proceedings, June 2014. https://doi.org/10.1063/1.4882486 |
| spellingShingle | QA Mathematics Mohana Sundaram Muthuvalu Sarat Dass Beh, Hoe Guan Jumat Sulaiman Numerical solutions of linear Fredholm Integral Equations using half-sweep arithmetic mean method |
| title | Numerical solutions of linear Fredholm Integral Equations using half-sweep arithmetic mean method |
| title_full | Numerical solutions of linear Fredholm Integral Equations using half-sweep arithmetic mean method |
| title_fullStr | Numerical solutions of linear Fredholm Integral Equations using half-sweep arithmetic mean method |
| title_full_unstemmed | Numerical solutions of linear Fredholm Integral Equations using half-sweep arithmetic mean method |
| title_short | Numerical solutions of linear Fredholm Integral Equations using half-sweep arithmetic mean method |
| title_sort | numerical solutions of linear fredholm integral equations using half sweep arithmetic mean method |
| topic | QA Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/20677/1/Numerical%20solutions%20of%20first%20kind%20Linear%20Fredholm%20Integral%20Equations%20using%20quarter.pdf |
| work_keys_str_mv | AT mohanasundarammuthuvalu numericalsolutionsoflinearfredholmintegralequationsusinghalfsweeparithmeticmeanmethod AT saratdass numericalsolutionsoflinearfredholmintegralequationsusinghalfsweeparithmeticmeanmethod AT behhoeguan numericalsolutionsoflinearfredholmintegralequationsusinghalfsweeparithmeticmeanmethod AT jumatsulaiman numericalsolutionsoflinearfredholmintegralequationsusinghalfsweeparithmeticmeanmethod |