Quarter-sweep iteration for first kind linear Fredholm integral equations
The main aim of this paper is to investigate the application of the quarter-sweep iteration in solving linear Fredholm integral equations of the first kind. The effectiveness Quarter-Sweep GaussSeidel (QSGS) method is examined by solving dense linear system generated from the discretization of the f...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
International Center for Scientific Research and Studies
2010
|
| Subjects: | |
| Online Access: | https://eprints.ums.edu.my/id/eprint/21420/1/Quarter%20sweep%20iteration%20for%20first%20kind%20linear%20Fredholm%20integral%20equations.pdf |
| _version_ | 1825713559014735872 |
|---|---|
| author | Mohana Sundaram Muthuvalu Jumat Sulaiman |
| author_facet | Mohana Sundaram Muthuvalu Jumat Sulaiman |
| author_sort | Mohana Sundaram Muthuvalu |
| collection | UMS |
| description | The main aim of this paper is to investigate the application of the quarter-sweep iteration in solving linear Fredholm integral equations of the first kind. The effectiveness Quarter-Sweep GaussSeidel (QSGS) method is examined by solving dense linear system generated from the discretization of the first kind linear Fredholm integral equations. In addition, the formulation and implementation of the proposed method are also presented. Some numerical simulations are carried out to show that the proposed method is superior compared to the standard method |
| first_indexed | 2024-03-06T02:58:27Z |
| format | Article |
| id | ums.eprints-21420 |
| institution | Universiti Malaysia Sabah |
| language | English |
| last_indexed | 2024-03-06T02:58:27Z |
| publishDate | 2010 |
| publisher | International Center for Scientific Research and Studies |
| record_format | dspace |
| spelling | ums.eprints-214202019-03-05T04:09:06Z https://eprints.ums.edu.my/id/eprint/21420/ Quarter-sweep iteration for first kind linear Fredholm integral equations Mohana Sundaram Muthuvalu Jumat Sulaiman QA Mathematics The main aim of this paper is to investigate the application of the quarter-sweep iteration in solving linear Fredholm integral equations of the first kind. The effectiveness Quarter-Sweep GaussSeidel (QSGS) method is examined by solving dense linear system generated from the discretization of the first kind linear Fredholm integral equations. In addition, the formulation and implementation of the proposed method are also presented. Some numerical simulations are carried out to show that the proposed method is superior compared to the standard method International Center for Scientific Research and Studies 2010 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/21420/1/Quarter%20sweep%20iteration%20for%20first%20kind%20linear%20Fredholm%20integral%20equations.pdf Mohana Sundaram Muthuvalu and Jumat Sulaiman (2010) Quarter-sweep iteration for first kind linear Fredholm integral equations. International Journal of Open Problems in Computer Science and Mathematics, 3 (3). pp. 357-367. ISSN 1998-6262 |
| spellingShingle | QA Mathematics Mohana Sundaram Muthuvalu Jumat Sulaiman Quarter-sweep iteration for first kind linear Fredholm integral equations |
| title | Quarter-sweep iteration for first kind linear Fredholm integral equations |
| title_full | Quarter-sweep iteration for first kind linear Fredholm integral equations |
| title_fullStr | Quarter-sweep iteration for first kind linear Fredholm integral equations |
| title_full_unstemmed | Quarter-sweep iteration for first kind linear Fredholm integral equations |
| title_short | Quarter-sweep iteration for first kind linear Fredholm integral equations |
| title_sort | quarter sweep iteration for first kind linear fredholm integral equations |
| topic | QA Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/21420/1/Quarter%20sweep%20iteration%20for%20first%20kind%20linear%20Fredholm%20integral%20equations.pdf |
| work_keys_str_mv | AT mohanasundarammuthuvalu quartersweepiterationforfirstkindlinearfredholmintegralequations AT jumatsulaiman quartersweepiterationforfirstkindlinearfredholmintegralequations |