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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

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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

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