A Numerical Approach Based on Taylor Polynomials for Solving a Class of Nonlinear Differential Equations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-13
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this study, a matrix method based on Taylor polynomials and collocation points is presented for the approximate solution of a class of nonlinear differential equations, which have many applications in mathematics, physics and engineering.
By means of matrix forms of the Taylor polynomials and their derivatives, the technique we have used reduces the solution of the nonlinear equation with mixed conditions to the solution of a matrix equation which corresponds to a system of nonlinear algebraic equations with the unknown Taylor coefficients.
On the other hand, to illustrate the validity and applicability of the method, some numerical examples together with residual error analysis are performed and the obtained results are compared with the existing results in literature.
American Psychological Association (APA)
Güler, Coşkun& Kaya, S. O.. 2018. A Numerical Approach Based on Taylor Polynomials for Solving a Class of Nonlinear Differential Equations. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1209233
Modern Language Association (MLA)
Güler, Coşkun& Kaya, S. O.. A Numerical Approach Based on Taylor Polynomials for Solving a Class of Nonlinear Differential Equations. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1209233
American Medical Association (AMA)
Güler, Coşkun& Kaya, S. O.. A Numerical Approach Based on Taylor Polynomials for Solving a Class of Nonlinear Differential Equations. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1209233
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209233