Atangana-Seda numerical scheme apply to nonlinear circuit problems
Based on the Newton polynomial which is accurate than the Lagrange polynomial, a new numerical scheme was introduced very recently by Atangana and Seda. Their method consisted in reverting a Cauchy problem into a Volterra type and then provide an approximation of the considered nonlinear function us...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-08-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016819301838 |
| _version_ | 1818669478779551744 |
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| author | Badr Saad T. Alkahtani Sara Salem Alzaid |
| author_facet | Badr Saad T. Alkahtani Sara Salem Alzaid |
| author_sort | Badr Saad T. Alkahtani |
| collection | DOAJ |
| description | Based on the Newton polynomial which is accurate than the Lagrange polynomial, a new numerical scheme was introduced very recently by Atangana and Seda. Their method consisted in reverting a Cauchy problem into a Volterra type and then provide an approximation of the considered nonlinear function using the Newton polynomial. Without any doubt, this method is more efficient and accurate than the well-known Adams-Bashforth, which is based on Lagrange polynomial. In this work, we apply such numerical scheme to some nonlinear circuit problems. |
| first_indexed | 2024-12-17T06:52:51Z |
| format | Article |
| id | doaj.art-e5fee9dc12314fa0a698b75a1b16e898 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-17T06:52:51Z |
| publishDate | 2020-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-e5fee9dc12314fa0a698b75a1b16e8982022-12-21T21:59:33ZengElsevierAlexandria Engineering Journal1110-01682020-08-0159420272036Atangana-Seda numerical scheme apply to nonlinear circuit problemsBadr Saad T. Alkahtani0Sara Salem Alzaid1Department of Mathematics, College of Science, King Saud University, P.O. Box 1142, Riyadh 11989, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 1142, Riyadh 11989, Saudi ArabiaBased on the Newton polynomial which is accurate than the Lagrange polynomial, a new numerical scheme was introduced very recently by Atangana and Seda. Their method consisted in reverting a Cauchy problem into a Volterra type and then provide an approximation of the considered nonlinear function using the Newton polynomial. Without any doubt, this method is more efficient and accurate than the well-known Adams-Bashforth, which is based on Lagrange polynomial. In this work, we apply such numerical scheme to some nonlinear circuit problems.http://www.sciencedirect.com/science/article/pii/S1110016819301838Atangana-Seda numerical methodNewton polynomialNonlinear circuit problems |
| spellingShingle | Badr Saad T. Alkahtani Sara Salem Alzaid Atangana-Seda numerical scheme apply to nonlinear circuit problems Alexandria Engineering Journal Atangana-Seda numerical method Newton polynomial Nonlinear circuit problems |
| title | Atangana-Seda numerical scheme apply to nonlinear circuit problems |
| title_full | Atangana-Seda numerical scheme apply to nonlinear circuit problems |
| title_fullStr | Atangana-Seda numerical scheme apply to nonlinear circuit problems |
| title_full_unstemmed | Atangana-Seda numerical scheme apply to nonlinear circuit problems |
| title_short | Atangana-Seda numerical scheme apply to nonlinear circuit problems |
| title_sort | atangana seda numerical scheme apply to nonlinear circuit problems |
| topic | Atangana-Seda numerical method Newton polynomial Nonlinear circuit problems |
| url | http://www.sciencedirect.com/science/article/pii/S1110016819301838 |
| work_keys_str_mv | AT badrsaadtalkahtani atanganasedanumericalschemeapplytononlinearcircuitproblems AT sarasalemalzaid atanganasedanumericalschemeapplytononlinearcircuitproblems |