eprintid: 17863 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/01/78/63 datestamp: 2023-12-19 03:24:10 lastmod: 2023-12-19 03:24:10 status_changed: 2023-12-19 03:08:49 type: article metadata_visibility: show creators_name: Aruchunan, E. creators_name: Muthuvalu, M.S. creators_name: Siri, Z. creators_name: Kumar, S.S.A. creators_name: Sulaiman, J. creators_name: Chew, J.V.L. creators_name: Ali, M.K.M. title: Examination of Half-Sweep Closed Newtonâ��Cotes Quadrature Schemes in Solving Dense System ispublished: pub note: cited By 0 abstract: The main objective of this research is to apply and analyse the performance of the half-sweep iteration concept to the low order to high order Newtonâ��Cotes and finite difference schemes via the Fredholm integro-differential equations to form a system of linear equations. Then generated linear systems will be computed by half-sweep Conjugate Gradient Normal Equation (HSCGNR) iterative method. The fundamental designs and formulations of full- and half-sweep Newtonâ��Cotes and finite difference schemes in combined with the full- and half-sweep Conjugate Gradient Normal Equations methods are also presented. Analysis of the computational complexity and reduction in computational amount are also included to show that the combination of the HSCGNR iterative method with high order discretisation schemes is superior compared with other low order schemes with full-sweep or standard Conjugate Gradient Normal Equation method via some examples. © 2022, Institute of Technology PETRONAS Sdn Bhd. date: 2022 publisher: Springer Science and Business Media Deutschland GmbH official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85115352535&doi=10.1007%2f978-3-030-79606-8_26&partnerID=40&md5=da5e8f5f73c83e3e5a268237251fef52 id_number: 10.1007/978-3-030-79606-8₂₆ full_text_status: none publication: Studies in Systems, Decision and Control volume: 383 pagerange: 413-430 refereed: TRUE issn: 21984182 citation: Aruchunan, E. and Muthuvalu, M.S. and Siri, Z. and Kumar, S.S.A. and Sulaiman, J. and Chew, J.V.L. and Ali, M.K.M. (2022) Examination of Half-Sweep Closed Newtonâ��Cotes Quadrature Schemes in Solving Dense System. Studies in Systems, Decision and Control, 383. pp. 413-430. ISSN 21984182