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Article

Chebyshev Collocation Method for Solving Linear Differential Equations

by
İhsan Timuçin Dolapçi
Dumlupinar University, Art and Science Faculty, Department of Mathematics, Kütahya, Turkey
Math. Comput. Appl. 2004, 9(1), 107-115; https://doi.org/10.3390/mca9010107
Published: 1 April 2004
Versions Notes

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

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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. https://doi.org/10.3390/mca9010107

AMA Style

Dolapçi İT. Chebyshev Collocation Method for Solving Linear Differential Equations. Mathematical and Computational Applications. 2004; 9(1):107-115. https://doi.org/10.3390/mca9010107

Chicago/Turabian Style

Dolapçi, İhsan Timuçin. 2004. "Chebyshev Collocation Method for Solving Linear Differential Equations" Mathematical and Computational Applications 9, no. 1: 107-115. https://doi.org/10.3390/mca9010107

APA Style

Dolapçi, İ. T. (2004). Chebyshev Collocation Method for Solving Linear Differential Equations. Mathematical and Computational Applications, 9(1), 107-115. https://doi.org/10.3390/mca9010107

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