Numerical Solution of Duffing Equation by Using an Improved Taylor Matrix Method
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-11
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We have suggested a numerical approach, which is based on an improved Taylor matrix method, for solving Duffing differential equations.
The method is based on the approximation by the truncated Taylor series about center zero.
Duffing equation and conditions are transformed into the matrix equations, which corresponds to a system of nonlinear algebraic equations with the unknown coefficients, via collocation points.
Combining these matrix equations and then solving the system yield the unknown coefficients of the solution function.
Numerical examples are included to demonstrate the validity and the applicability of the technique.
The results show the efficiency and the accuracy of the present work.
Also, the method can be easily applied to engineering and science problems.
American Psychological Association (APA)
Bülbül, Berna& Sezer, Mehmet. 2013. Numerical Solution of Duffing Equation by Using an Improved Taylor Matrix Method. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-490934
Modern Language Association (MLA)
Bülbül, Berna& Sezer, Mehmet. Numerical Solution of Duffing Equation by Using an Improved Taylor Matrix Method. Journal of Applied Mathematics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-490934
American Medical Association (AMA)
Bülbül, Berna& Sezer, Mehmet. Numerical Solution of Duffing Equation by Using an Improved Taylor Matrix Method. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-490934
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490934