Modified operational matrix method for second-order nonlinear ordinary differential equations with quadratic and cubic terms
- Publikationstyp:
- Zeitschriftenaufsatz
- Metadaten:
-
- Autoren
- Burcu Gurbuz
- Mehmet Sezer
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000884975300008&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.11121/ijocta.01.2020.00827
- eISSN
- 2146-5703
- Externe Identifier
- Clarivate Analytics Document Solution ID: 6G8BK
- ISSN
- 2146-0957
- Ausgabe der Veröffentlichung
- 2
- Zeitschrift
- INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA
- Schlüsselwörter
- Nonlinear ordinary differential equations
- Laguerre polynomials and series
- Collocation points
- Residual error estimation
- Paginierung
- 218 - 225
- Datum der Veröffentlichung
- 2020
- Status
- Published
- Titel
- Modified operational matrix method for second-order nonlinear ordinary differential equations with quadratic and cubic terms
- Sub types
- Article
- Ausgabe der Zeitschrift
- 10
Datenquelle: Web of Science (Lite)
- Andere Metadatenquellen:
-
- Abstract
- <jats:p>In this study, by means of the matrix relations between the Laguerre polynomials, and their derivatives, a novel matrix method based on collocation points is modified and developed for solving a class of second-order nonlinear ordinary differential equations having quadratic and cubic terms, via mixed conditions. The method reduces the solution of the nonlinear equation to the solution of a matrix equation corresponding to system of nonlinear algebraic equations with the unknown Laguerre coefficients. Also, some illustrative examples along with an error analysis based on residual function are included to demonstrate the validity and applicability of the proposed method.</jats:p>
- Autoren
- Burcu Gürbüz
- Mehmet Sezer
- DOI
- 10.11121/ijocta.01.2020.00827
- eISSN
- 2146-5703
- ISSN
- 2146-0957
- Ausgabe der Veröffentlichung
- 2
- Zeitschrift
- An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
- Online publication date
- 2020
- Paginierung
- 218 - 225
- Status
- Published online
- Herausgeber
- International Journal of Optimization and Control: Theories and Applications
- Herausgeber URL
- http://dx.doi.org/10.11121/ijocta.01.2020.00827
- Datum der Datenerfassung
- 2020
- Titel
- Modified operational matrix method for second-order nonlinear ordinary differential equations with quadratic and cubic terms
- Ausgabe der Zeitschrift
- 10
Datenquelle: Crossref
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- Eigentum von