BibTex RIS Cite

A Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations

Year 2012, Volume: 25 Issue: 2, 393 - 401, 17.04.2012

Gamze Yuksel Mustafa Gulsu Mehmet Sezer

Abstract

The purpose of this study is to present a method for solving high order linear Fredholm-Volterra integro-differential equations in terms of Chebyshev polynomials under the mixed conditions. The method is based on the approximation by the truncated Chebyshev series. The higher order linear Fredholm-Volterra integro-differential equations and the conditions are transformed into the matrix equations, which corresponds to a system of linear algebraic equations with the unknown Chebyshev coefficients. Combining these matrix equations and then solving the system yields the Chebyshev coefficients of the solution function. Finally, the effectiveness of the method is illustrated in several numerical experiments and error analysis is performed.

 

Keywords: Chebyshev polynomials, Fredholm-Volterra integral equations, Polynomial approximations

 


Keywords

Chebyshev polynomials Fredholm-Volterra integral equations Polynomial approximations

Equations

Year 2012, Volume: 25 Issue: 2, 393 - 401, 17.04.2012

Gamze Yuksel Mustafa Gulsu Mehmet Sezer

Abstract

There are 0 citations in total.

Details

Primary Language English
Journal Section Mathematics
Authors

Gamze Yuksel

Mustafa Gulsu This is me

Mehmet Sezer This is me

Publication Date April 17, 2012
Published in Issue Year 2012 Volume: 25 Issue: 2

Cite

APA Yuksel, G., Gulsu, M., & Sezer, M. (2012). A Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations. Gazi University Journal of Science, 25(2), 393-401.
AMA Yuksel G, Gulsu M, Sezer M. A Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations. Gazi University Journal of Science. April 2012;25(2):393-401.
Chicago Yuksel, Gamze, Mustafa Gulsu, and Mehmet Sezer. “A Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations”. Gazi University Journal of Science 25, no. 2 (April 2012): 393-401.
EndNote Yuksel G, Gulsu M, Sezer M (April 1, 2012) A Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations. Gazi University Journal of Science 25 2 393–401.
IEEE G. Yuksel, M. Gulsu, and M. Sezer, “A Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations”, Gazi University Journal of Science, vol. 25, no. 2, pp. 393–401, 2012.
ISNAD Yuksel, Gamze et al. “A Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations”. Gazi University Journal of Science 25/2 (April 2012), 393-401.
JAMA Yuksel G, Gulsu M, Sezer M. A Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations. Gazi University Journal of Science. 2012;25:393–401.
MLA Yuksel, Gamze et al. “A Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations”. Gazi University Journal of Science, vol. 25, no. 2, 2012, pp. 393-01.
Vancouver Yuksel G, Gulsu M, Sezer M. A Chebyshev Polynomial Approach for High-Order Linear Fredholm-Volterra Integro-Differential Equations. Gazi University Journal of Science. 2012;25(2):393-401.