Numerical solution of singular two-point boundary value problems by the collocation method with the Chebyshev bases

Numerical solution of singular two-point boundary value problems by the collocation method with... This paper presents a study of the performance of the collocation method using Chebychev basis functions for solving linear and nonlinear singular boundary value problems. The equations are reduced to systems of linear and nonlinear algebraic equations. The numerical experiments show that the proposed method produces high accurate results. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png SeMA Journal Springer Journals

Numerical solution of singular two-point boundary value problems by the collocation method with the Chebyshev bases

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Publisher
Springer Journals
Copyright
Copyright © 2016 by Sociedad Española de Matemática Aplicada
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
2254-3902
eISSN
2281-7875
D.O.I.
10.1007/s40324-016-0107-8
Publisher site
See Article on Publisher Site

Abstract

This paper presents a study of the performance of the collocation method using Chebychev basis functions for solving linear and nonlinear singular boundary value problems. The equations are reduced to systems of linear and nonlinear algebraic equations. The numerical experiments show that the proposed method produces high accurate results.

Journal

SeMA JournalSpringer Journals

Published: Dec 29, 2016

References

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