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A Numerical Approach with Residual Error Estimation for Eolution of High-order Linear Differential-difference Equations by Using Gegenbauer Polynomials

Year 2017, Volume: 13 Issue: 1, 39 - 49, 29.03.2017
https://doi.org/10.18466/cbayarfbe.302638

Abstract

The main aim of this
study is to apply the Gegenbauer polynomials for the solution of high-order
linear differential difference equations with functional arguments under
initial-boundary conditions.The technique we have used is essentially based on
the truncated Gegenbauer series and its matrix representations along with
collocation points. Also, by using the Mean-Value Theorem and residual
function, an efficient error estimation technique is proposed and some
illustrative examples are presented to demonstrate the validity and
applicability of the method.


References

  • M. T. Rashed, Numerical solution of functional differential,integral and integro- differential equations, Appl.Math.Comput.156 (2004) 485-492.
Year 2017, Volume: 13 Issue: 1, 39 - 49, 29.03.2017
https://doi.org/10.18466/cbayarfbe.302638

Abstract

References

  • M. T. Rashed, Numerical solution of functional differential,integral and integro- differential equations, Appl.Math.Comput.156 (2004) 485-492.
There are 1 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

Tuğçe Mollaoğlu This is me

Mehmet Sezer

Publication Date March 29, 2017
Published in Issue Year 2017 Volume: 13 Issue: 1

Cite

APA Mollaoğlu, T., & Sezer, M. (2017). A Numerical Approach with Residual Error Estimation for Eolution of High-order Linear Differential-difference Equations by Using Gegenbauer Polynomials. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 13(1), 39-49. https://doi.org/10.18466/cbayarfbe.302638
AMA Mollaoğlu T, Sezer M. A Numerical Approach with Residual Error Estimation for Eolution of High-order Linear Differential-difference Equations by Using Gegenbauer Polynomials. CBUJOS. March 2017;13(1):39-49. doi:10.18466/cbayarfbe.302638
Chicago Mollaoğlu, Tuğçe, and Mehmet Sezer. “A Numerical Approach With Residual Error Estimation for Eolution of High-Order Linear Differential-Difference Equations by Using Gegenbauer Polynomials”. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 13, no. 1 (March 2017): 39-49. https://doi.org/10.18466/cbayarfbe.302638.
EndNote Mollaoğlu T, Sezer M (March 1, 2017) A Numerical Approach with Residual Error Estimation for Eolution of High-order Linear Differential-difference Equations by Using Gegenbauer Polynomials. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 13 1 39–49.
IEEE T. Mollaoğlu and M. Sezer, “A Numerical Approach with Residual Error Estimation for Eolution of High-order Linear Differential-difference Equations by Using Gegenbauer Polynomials”, CBUJOS, vol. 13, no. 1, pp. 39–49, 2017, doi: 10.18466/cbayarfbe.302638.
ISNAD Mollaoğlu, Tuğçe - Sezer, Mehmet. “A Numerical Approach With Residual Error Estimation for Eolution of High-Order Linear Differential-Difference Equations by Using Gegenbauer Polynomials”. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 13/1 (March 2017), 39-49. https://doi.org/10.18466/cbayarfbe.302638.
JAMA Mollaoğlu T, Sezer M. A Numerical Approach with Residual Error Estimation for Eolution of High-order Linear Differential-difference Equations by Using Gegenbauer Polynomials. CBUJOS. 2017;13:39–49.
MLA Mollaoğlu, Tuğçe and Mehmet Sezer. “A Numerical Approach With Residual Error Estimation for Eolution of High-Order Linear Differential-Difference Equations by Using Gegenbauer Polynomials”. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, vol. 13, no. 1, 2017, pp. 39-49, doi:10.18466/cbayarfbe.302638.
Vancouver Mollaoğlu T, Sezer M. A Numerical Approach with Residual Error Estimation for Eolution of High-order Linear Differential-difference Equations by Using Gegenbauer Polynomials. CBUJOS. 2017;13(1):39-4.