The numerical solution of a nonlinear system of second-order boundary value problems using the sinc-collocation method

Authors:
Mehdi Dehghan;Abbas Saadatmandi
Affiliations:
Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran, Iran;Department of Mathematics, Faculty of Science, Kashan University, Kashan, Iran
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2007

Citing 6
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Abstract

The sinc-collocation method is presented for solving a nonlinear system of second-order boundary value problems. Some properties of the sinc-collocation method required for our subsequent development are given and are utilized to reduce the computation of solution of the system of second-order boundary value problems to some algebraic equations. Numerical examples are included to demonstrate the validity and applicability of the technique and a comparison is made with the existing results. The method is easy to implement and yields very accurate results.