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Sinc-Collocation Method for Solving Linear and Nonlinear System of Second-Order Boundary Value Problems
Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt
- 1 Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt
Applied Mathematics·Volume 03 (2012)·Pages 1627–1633·Published 7 November 2012·DOI10.4236/am.2012.311225
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Abstract
Sinc methods are now recognized as an efficient numerical method for problems whose solutions may have singularities, or infinite domains, or boundary layers. This work deals with the sinc-collocation method for solving linear and nonlinear system of second order differential equation. The method is then tested on linear and nonlinear examples and a comparison with B-spline method is made. It is shown that the sinc-collocation method yields better results.
KeywordsSinc FunctionCollocation MethodSystemNumerical Solution
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