Gegenbauer Polynomial Method for Linear Complex Differential Equations

Computer Science & Engineering
Proceedings of the 8th International Youth Science Forum "Litteris et Artibus", November 22–24, 2018, Lviv: Lviv Polytechnic National University, 2018, pp. 17–21

Authors

First and Last Name Academic degree E-mail Affiliation
Faruk Düşünceli Ph.D. farukdusunceli [at] artuklu.edu.tr Faculty of Economic and Administrative Sciences, Mardin Artuklu University
Mardin, Turkey
Ercan Celik Ph.D. ercelik [at] atauni.edu.tr Faculty of Science, Ataturk University
Erzurum, Turkey

I and my co-authors (if any) authorize the use of the Paper in accordance with the Creative Commons CC BY license

First published on this website: 05.11.2018 - 12:40
Abstract

In this paper, gegenbauer polynomials was used to get numerical solution of linear complex differential equations. The equations in the form of matrix polynomial were occurred

References

[1] M. Çetin, M. Sezer and C. Güler, “Lucas Polynomial Approach for System of High-Order Linear Differential Equations and Residual Error Estimation,” Mathematical Problems in Engineering, vol. 2015, article ID 625984, 2015.

[2] M. Sezer and S. Yüzbaşı, ”A collocation method to solve higher order linear complex differential equations in rectangular domains,” Numerical Methods for Partial Differential Equations, Vol. 26, 2010, pp. 596–611.

[3] S. Yüzbaşı, M. Aynıgül and M. Sezer, ”A collocation method using Hermite polynomials for approximate solution of pantograph equations,” Journal of the Franklin Institute, Vol. 348, 2011, pp.1128–1139.

[4] F. Düşünceli and E. Çelik, “An Effective Tool: Numerical Solutions by Legendre Polynomials for High-order Linear Complex Differential Equations,” British Journal of Applied Science & Technology, Vol. 8(4), 2015, pp. 348-355.

[5] M. Bagherpoorfard and F.A. Ghassabzade, “Hermite Matrix Polynomial Collocation Method for Linear Complex Differential Equations and Some Comparisons,” Journal of Applied Mathematics and Physics, Vol. 1, 2013, pp. 58–64.

[6] S. Yüzbası, N. Şahin and M. Gülsu, “A collocation approach for solving a class of complex differential equations in elliptic domains,” Journal of Numerical Mathematics, Vol. 19, 2011, pp. 225–246.

[7] U.W. Hochstrasser, Orthogonal Polynomials. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1972.

Official paper

Comments

Hayet SALMI
researcher

I send  a new version of my paper entitled «Contributions of Algerian Scholars in jurisprudence and its Basis »  by E-mail and  by electronic submission, through the conference website, according to the secretary HSS  observations. In Word and Pdf files

 

Thank you & best regards.

 Dr.Haiat KETTAB

Department of Islamic Sciences, University of M’sila, Algeria.

Mon, 11/05/2018 - 13:56
Secretary CSE
researcher, secretary

Dear Authors,

 

Your paper has been accepted!

 

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Mon, 11/12/2018 - 23:03