Next Article in Journal
Advanced Signal Processing Techniques for Faulth Diagnostics-a Review
Previous Article in Journal
Improved Part Modeling in a Process Planning System
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
MCA
Volume 15
Issue 1
10.3390/mca15010045
mca-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Approximate Solution of Higher Order Linear Differential Equations by Means of a New Rational Chebyshev Collocation Method

by
Salih Yalçınbas
1,*,
Nesrin Özsoy
2 and
Mehmet Sezer 
3
1
Department of Mathematics, Faculty of Science and Arts , Celal Bayar University Muradiye, Manisa, Turkey
2
Department of Mathematics Education, Faculty of Education , Adnan Menderes University, Aydın, Turkey
3
Department of Mathematics, Faculty of Science, Muğla University, Muğla, Turkey
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2010, 15(1), 45-56; https://doi.org/10.3390/mca15010045
Published: 1 April 2010
Versions Notes

Abstract

In this paper, a new approximate method for solving higher-order linear ordinary differential equations with variable coefficients under the mixed conditions is presented. The method is based on the rational Chebyshev (RC) Tau, Chebyshev and Taylor collocation methods. The solution is obtained in terms of rational Chebyshev (RC) functions. Also, illustrative examples are given to demonstrate the validity and applicability of the method.
Keywords: Rational Chebyshev Functions; Higher-order Ordinary Differential Equations; Taylor and Chebyshev Collocation Methods Rational Chebyshev Functions; Higher-order Ordinary Differential Equations; Taylor and Chebyshev Collocation Methods

Share and Cite

MDPI and ACS Style

Yalçınbas, S.; Özsoy, N.; Sezer , M. Approximate Solution of Higher Order Linear Differential Equations by Means of a New Rational Chebyshev Collocation Method. Math. Comput. Appl. 2010, 15, 45-56. https://doi.org/10.3390/mca15010045

AMA Style

Yalçınbas S, Özsoy N, Sezer  M. Approximate Solution of Higher Order Linear Differential Equations by Means of a New Rational Chebyshev Collocation Method. Mathematical and Computational Applications. 2010; 15(1):45-56. https://doi.org/10.3390/mca15010045

Chicago/Turabian Style

Yalçınbas, Salih, Nesrin Özsoy, and Mehmet Sezer . 2010. "Approximate Solution of Higher Order Linear Differential Equations by Means of a New Rational Chebyshev Collocation Method" Mathematical and Computational Applications 15, no. 1: 45-56. https://doi.org/10.3390/mca15010045

APA Style

Yalçınbas, S., Özsoy, N., & Sezer , M. (2010). Approximate Solution of Higher Order Linear Differential Equations by Means of a New Rational Chebyshev Collocation Method. Mathematical and Computational Applications, 15(1), 45-56. https://doi.org/10.3390/mca15010045

Article Metrics

Back to TopTop