Fermat collocation method for the solutions of nonlinear system of second order boundary value problems
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 1)Publication Date: 2016-01-01
Authors : Salih Yalcinbas; Kübra Erdem Biçer; Dilek Taştekin;
Page : 87-96
Keywords : Boundary value problems matrix methods Fermat polynomials nonlinear systems.;
Abstract
In this study, a numerical approach is proposed to obtain approximate solutions of nonlinear system of second 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 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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Last modified: 2016-10-30 05:08:39