Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations
Joint Authors
Imani, Ali
Aminataei, Azim
Imani, Ahmad
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We extend a collocation method for solving a nonlinear ordinary differential equation (ODE) via Jacobi polynomials.
To date, researchers usually use Chebyshev or Legendre collocation method for solving problems in chemistry, physics, and so forth, see the works of (Doha and Bhrawy 2006, Guo 2000, and Guo et al.
2002).
Choosing the optimal polynomial for solving every ODEs problem depends on many factors, for example, smoothing continuously and other properties of the solutions.
In this paper, we show intuitionally that in some problems choosing other members of Jacobi polynomials gives better result compared to Chebyshev or Legendre polynomials.
American Psychological Association (APA)
Imani, Ahmad& Aminataei, Azim& Imani, Ali. 2011. Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-489361
Modern Language Association (MLA)
Imani, Ahmad…[et al.]. Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-489361
American Medical Association (AMA)
Imani, Ahmad& Aminataei, Azim& Imani, Ali. Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-489361
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489361