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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Math. Comput. Appl. 2015, 20(2), 94-105; https://doi.org/10.3390/mca20010105
Published: 1 August 2015
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.
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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 StyleTaştekin, 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
