An Efficient Iterative Scheme Using Family of Chebyshev’s Operations
Joint Authors
Mahdavi, Seyed Hossein
Abdul Razak, Hashim
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-02
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper presents an efficient iterative method originated from the family of Chebyshev’s operations for the solution of nonlinear problems.
For this aim, the product operation matrix of integration is presented, and therefore the operation of derivative is developed by using Chebyshev wavelet functions of the first and second kind, initially.
Later, Chebyshev’s iterative method is improved by approximation of the first and second derivatives.
The analysis of convergence demonstrates that the method is at least fourth-order convergent.
The effectiveness of the proposed scheme is numerically and practically evaluated.
It is concluded that it requires the less number of iterations and lies on the best performance of the proposed method, especially for highly varying nonlinear problems.
American Psychological Association (APA)
Mahdavi, Seyed Hossein& Abdul Razak, Hashim. 2015. An Efficient Iterative Scheme Using Family of Chebyshev’s Operations. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073213
Modern Language Association (MLA)
Mahdavi, Seyed Hossein& Abdul Razak, Hashim. An Efficient Iterative Scheme Using Family of Chebyshev’s Operations. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1073213
American Medical Association (AMA)
Mahdavi, Seyed Hossein& Abdul Razak, Hashim. An Efficient Iterative Scheme Using Family of Chebyshev’s Operations. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073213
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073213