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Article

Fermat Collocation Method for Nonlinear System of First Order Boundary Value Problems

by
Dilek Taştekin
* and
Salih Yalçınbaş
*
Department of Mathematics, Celal Bayar University, 45047, Muradiye, Manisa, Turkey
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2015, 20(2), 94-105; https://doi.org/10.3390/mca20010105
Published: 1 August 2015
Versions Notes

Abstract

In this study, a numerical approach is proposed to obtain approximate solutions of nonlinear system of first order boundary value problem. This technique is essentially based on the truncated Fermat series and its matrix representations with collocation points. Using the matrix method, we reduce the problem to a system of nonlinear algebraic equations. Numerical examples are also given to demonstrate the validity and applicability of the presented technique. The method is easy to implement and produces accurate results.
Keywords: Nonlinear system; first order boundary value problem; fermat polynomials and series; collocation points Nonlinear system; first order boundary value problem; fermat polynomials and series; collocation points

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MDPI and ACS Style

Taştekin, D.; Yalçınbaş, S. Fermat Collocation Method for Nonlinear System of First Order Boundary Value Problems. Math. Comput. Appl. 2015, 20, 94-105. https://doi.org/10.3390/mca20010105

AMA Style

Taştekin D, Yalçınbaş S. Fermat Collocation Method for Nonlinear System of First Order Boundary Value Problems. Mathematical and Computational Applications. 2015; 20(2):94-105. https://doi.org/10.3390/mca20010105

Chicago/Turabian Style

Taştekin, Dilek, and Salih Yalçınbaş. 2015. "Fermat Collocation Method for Nonlinear System of First Order Boundary Value Problems" Mathematical and Computational Applications 20, no. 2: 94-105. https://doi.org/10.3390/mca20010105

APA Style

Taştekin, D., & Yalçınbaş, S. (2015). Fermat Collocation Method for Nonlinear System of First Order Boundary Value Problems. Mathematical and Computational Applications, 20(2), 94-105. https://doi.org/10.3390/mca20010105

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