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Math. Comput. Appl. 2015, 20(2), 94-105; doi:10.3390/mca20010105

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

Department of Mathematics, Celal Bayar University, 45047, Muradiye, Manisa, Turkey
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Published: 1 August 2015
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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
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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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.

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