Chebyshev finite difference method for a two−point boundary value problems with applications to chemical reactor theory
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Abstract:
In this paper, a Chebyshev finite difference method has been proposed in order to solve nonlinear two-point boundary value problems for second order nonlinear differential equations. A problem arising from chemical reactor theory is then considered. The approach consists of reducing the problem to a set of algebraic equations. This method can be regarded as a non-uniform finite difference scheme. The method is computationally attractive and applications are demonstrated through an illustrative example. Also a comparison is made with existing results.
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Journal title
volume 3 issue 1
pages 1- 7
publication date 2012-02-01
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