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

Yıl 2016, Cilt: 1 Sayı: 3, 22 - 30, 01.09.2016

Öz

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.

Yıl 2016, Cilt: 1 Sayı: 3, 22 - 30, 01.09.2016

Öz

Toplam 0 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA74BF28BU
Bölüm Araştırma Makalesi
Yazarlar

Birol Ibis Bu kişi benim

Mustafa Bayram Bu kişi benim

Yayımlanma Tarihi 1 Eylül 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 1 Sayı: 3

Kaynak Göster

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. Eylül 2016;1(3):22-30.
Chicago Ibis, Birol, ve 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, sy. 3 (Eylül 2016): 22-30.
EndNote Ibis B, Bayram M (01 Eylül 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 ve M. Bayram, “Numerical solution of the neutral functional-differential equations with proportional delays via collocation method based on Hermite polynomials”, CMMA, c. 1, sy. 3, ss. 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 (Eylül 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 ve 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, c. 1, sy. 3, 2016, ss. 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.