Numerical solution of the neutral functional-differential equations with proportional delays via collocation method based on Hermite polynomials

Birol Ibis; Mustafa Bayram

EN

Numerical solution of the neutral functional-differential equations with proportional delays via collocation method based on Hermite polynomials

Abstract

In this paper, a collocation method based on Hermite polynomials is presented for the numerical solution of the neutral functional-differential equations (NFDEs) with proportional delays. By using Hermite polynomials and collocation points, NFDEs and the given conditions are transformed into matrix equation which corresponds to a system of linear algebraic equations with unknown Hermite coefficients. Hence, by solving this system, the unknown Hermite coefficients are computed. In addition, some numerical examples are given and comparisons with other methods are made in order to demonstrate the validity and applicability of the proposed method.

Keywords

Hermite collocation method (HCM), collocation points, Hermite polynomials, neutral functional-differential equations (NFDEs)

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Birol Ibis This is me

Mustafa Bayram This is me

Publication Date

September 1, 2016

Submission Date

September 1, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 1 Number: 3

IZ

https://izlik.org/JA46EH78GM

Cite

RIS / Bibtex

APA

Ibis, B., & Bayram, M. (2016). Numerical solution of the neutral functional-differential equations with proportional delays via collocation method based on Hermite polynomials. Communication in Mathematical Modeling and Applications, 1(3), 22-30. https://izlik.org/JA46EH78GM

AMA

1.Ibis B, Bayram M. Numerical solution of the neutral functional-differential equations with proportional delays via collocation method based on Hermite polynomials. CMMA. 2016;1(3):22-30. https://izlik.org/JA46EH78GM

Chicago

Ibis, Birol, and Mustafa Bayram. 2016. “Numerical Solution of the Neutral Functional-Differential Equations With Proportional Delays via Collocation Method Based on Hermite Polynomials”. Communication in Mathematical Modeling and Applications 1 (3): 22-30. https://izlik.org/JA46EH78GM.

EndNote

Ibis B, Bayram M (September 1, 2016) Numerical solution of the neutral functional-differential equations with proportional delays via collocation method based on Hermite polynomials. Communication in Mathematical Modeling and Applications 1 3 22–30.

IEEE

[1]B. Ibis and M. Bayram, “Numerical solution of the neutral functional-differential equations with proportional delays via collocation method based on Hermite polynomials”, CMMA, vol. 1, no. 3, pp. 22–30, Sept. 2016, [Online]. Available: https://izlik.org/JA46EH78GM

ISNAD

Ibis, Birol - Bayram, Mustafa. “Numerical Solution of the Neutral Functional-Differential Equations With Proportional Delays via Collocation Method Based on Hermite Polynomials”. Communication in Mathematical Modeling and Applications 1/3 (September 1, 2016): 22-30. https://izlik.org/JA46EH78GM.

JAMA

1.Ibis B, Bayram M. Numerical solution of the neutral functional-differential equations with proportional delays via collocation method based on Hermite polynomials. CMMA. 2016;1:22–30.

MLA

Ibis, Birol, and Mustafa Bayram. “Numerical Solution of the Neutral Functional-Differential Equations With Proportional Delays via Collocation Method Based on Hermite Polynomials”. Communication in Mathematical Modeling and Applications, vol. 1, no. 3, Sept. 2016, pp. 22-30, https://izlik.org/JA46EH78GM.

Vancouver

1.Birol Ibis, Mustafa Bayram. Numerical solution of the neutral functional-differential equations with proportional delays via collocation method based on Hermite polynomials. CMMA [Internet]. 2016 Sep. 1;1(3):22-30. Available from: https://izlik.org/JA46EH78GM