Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation

Bengü Türkyılmaz; Burcu Gürbüz; Mehmet Sezer

EN TR

Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation

Abstract

The main aim of this study is to apply the Morgan-Voyce 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 Morgan-Voyce 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.

Keywords

Morgan- Voyce polynomials, Differential-difference equations, Collocation method, Matrix method, Error estimation, Residual function

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Bengü Türkyılmaz This is me

Burcu Gürbüz

Mehmet Sezer

Publication Date

January 31, 2016

Submission Date

January 17, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 1

IZ

https://izlik.org/JA47CW96NF

APA

Türkyılmaz, B., Gürbüz, B., & Sezer, M. (2016). Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation. Duzce University Journal of Science and Technology, 4(1), 252-263. https://izlik.org/JA47CW96NF

AMA

1.Türkyılmaz B, Gürbüz B, Sezer M. Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation. DUBİTED. 2016;4(1):252-263. https://izlik.org/JA47CW96NF

Chicago

Türkyılmaz, Bengü, Burcu Gürbüz, and Mehmet Sezer. 2016. “Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations With Residual Error Estimation”. Duzce University Journal of Science and Technology 4 (1): 252-63. https://izlik.org/JA47CW96NF.

EndNote

Türkyılmaz B, Gürbüz B, Sezer M (January 1, 2016) Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation. Duzce University Journal of Science and Technology 4 1 252–263.

IEEE

[1]B. Türkyılmaz, B. Gürbüz, and M. Sezer, “Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation”, DUBİTED, vol. 4, no. 1, pp. 252–263, Jan. 2016, [Online]. Available: https://izlik.org/JA47CW96NF

ISNAD

Türkyılmaz, Bengü - Gürbüz, Burcu - Sezer, Mehmet. “Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations With Residual Error Estimation”. Duzce University Journal of Science and Technology 4/1 (January 1, 2016): 252-263. https://izlik.org/JA47CW96NF.

JAMA

1.Türkyılmaz B, Gürbüz B, Sezer M. Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation. DUBİTED. 2016;4:252–263.

MLA

Türkyılmaz, Bengü, et al. “Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations With Residual Error Estimation”. Duzce University Journal of Science and Technology, vol. 4, no. 1, Jan. 2016, pp. 252-63, https://izlik.org/JA47CW96NF.

Vancouver

1.Bengü Türkyılmaz, Burcu Gürbüz, Mehmet Sezer. Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation. DUBİTED [Internet]. 2016 Jan. 1;4(1):252-63. Available from: https://izlik.org/JA47CW96NF

Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation

Morgan-Voyce Polynomial Approach for Solution of High-Order Linear Differential-Difference Equations with Residual Error Estimation

Abstract

Keywords

Yüksek Mertebeden Lineer Diferansiyel Fark Denklemlerinin Hata Tahmini ile Morgan-Voyce Yaklaşımı

Abstract

Keywords

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