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Lucas Polynomial Approach for System of High-Order Linear Differential Equations and Residual Error Estimation
Joint Authors
Çetin, Muhammed
Sezer, Mehmet
Güler, Coşkun
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-12
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
An approximation method based on Lucas polynomials is presented for the solution of the system of high-order linear differential equations with variable coefficients under the mixed conditions.
This method transforms the system of ordinary differential equations (ODEs) to the linear algebraic equations system by expanding the approximate solutions in terms of the Lucas polynomials with unknown coefficients and by using the matrix operations and collocation points.
In addition, the error analysis based on residual function is developed for present method.
To demonstrate the efficiency and accuracy of the method, numerical examples are given with the help of computer programmes written in Maple and Matlab.
American Psychological Association (APA)
Çetin, Muhammed& Sezer, Mehmet& Güler, Coşkun. 2015. Lucas Polynomial Approach for System of High-Order Linear Differential Equations and Residual Error Estimation. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1074319
Modern Language Association (MLA)
Çetin, Muhammed…[et al.]. Lucas Polynomial Approach for System of High-Order Linear Differential Equations and Residual Error Estimation. Mathematical Problems in Engineering No. 2015 (2015), pp.1-14.
https://search.emarefa.net/detail/BIM-1074319
American Medical Association (AMA)
Çetin, Muhammed& Sezer, Mehmet& Güler, Coşkun. Lucas Polynomial Approach for System of High-Order Linear Differential Equations and Residual Error Estimation. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1074319
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074319