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

Year 2016, Volume: 1 Issue: 3, 22 - 30, 01.09.2016

Birol Ibis Mustafa Bayram

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)

Year 2016, Volume: 1 Issue: 3, 22 - 30, 01.09.2016

Birol Ibis Mustafa Bayram

Abstract

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Details

Other ID JA74BF28BU
Journal Section Research Article
Authors

Birol Ibis This is me

Mustafa Bayram This is me

Publication Date September 1, 2016
Published in Issue Year 2016 Volume: 1 Issue: 3

Cite

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.
AMA Ibis B, Bayram M. Numerical solution of the neutral functional-differential equations with proportional delays via collocation method based on Hermite polynomials. CMMA. September 2016;1(3):22-30.
Chicago 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 1, no. 3 (September 2016): 22-30.
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 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, 2016.
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 2016), 22-30.
JAMA 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, 2016, pp. 22-30.
Vancouver 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.