On the Solution of Singular Ordinary Differential Equations Using a Composite Chebyshev Finite Difference Method

A. Kazemi Nasab (), Z. Pashazadeh Atabakan, A. Kilicman and Zainidin K. Eshkuvatov
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A. Kazemi Nasab: Universiti Putra Malaysia, Department of Mathematics Faculty of Science
Z. Pashazadeh Atabakan: Universiti Putra Malaysia, Department of Mathematics Faculty of Science
A. Kilicman: Universiti Putra Malaysia, Department of Mathematics Faculty of Science
Zainidin K. Eshkuvatov: Universiti Putra Malaysia, Department of Mathematics Faculty of Science

A chapter in International Conference on Mathematical Sciences and Statistics 2013, 2014, pp 21-30 from Springer

Abstract: Abstract In this paper, a numerical algorithm based upon a hybrid of Chebyshev polynomials and block-pulse functions is proposed for solving both linear and nonlinear singular boundary value problems. Composite Chebyshev finite difference method is indeed an extension of the well-known Chebyshev finite difference method. We take advantage of the useful properties of Chebyshev polynomials and finite difference method to reduce the computation of the problem to a set of algebraic equations simplifying the problem. Several examples are included to illustrate the applicability and accuracy of the introduced method. Convergence analysis is presented.

Keywords: Chebyshev Finite Difference Method; Singular Ordinary Differential Equations; Block-pulse Functions; Nonlinear Singular Boundary Value Problems; Chebyshev Polynomials (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-4585-33-0_3

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DOI: 10.1007/978-981-4585-33-0_3

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