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Math. Comput. Appl. 2004, 9(1), 107-115; doi:10.3390/mca9010107

Chebyshev Collocation Method for Solving Linear Differential Equations

Dumlupinar University, Art and Science Faculty, Department of Mathematics, Kütahya, Turkey
Published: 1 April 2004
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Abstract

A matrix method, which is called the Chebyshev-matrix method, for the approximate solution of linear differential equations in term of Chebyshev collocations is presented. The method is based on first taking the truncated Chebyshev series of the functions in equation and then substituting their matrix forms into the given equation. Thereby the equation reduces to a matrix equation, which corresponds to a system of linear algebraic equations with unknown Chebyshev coefficients. To illustrate the method, it is applied to certain linear differential equation under the given conditions and the results are compared.
Keywords: Chebyshev Polynomials and Series; Chebyshev-Matrix Method Chebyshev Polynomials and Series; Chebyshev-Matrix Method
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Dolapçi, İ.T. Chebyshev Collocation Method for Solving Linear Differential Equations. Math. Comput. Appl. 2004, 9, 107-115.

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