Araştırma Makalesi

Numerical Solution of Volterra Integral Equations Using Hosoya Polynomial

Cilt: 6 Sayı: 3 30 Aralık 2021
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Numerical Solution of Volterra Integral Equations Using Hosoya Polynomial

Abstract

In this study, Volterra integral equation is solved by Hosoya Polynomials. The solutions obtained with Hosoya method were compared on the figure and table. And error analysis was done. Matlab has been used to obtain results, tables and error analysis.

Keywords

Kaynakça

  1. M. A. Abdou, A. A. Soliman and M. A. Abdel–Aty, On a discussion of Volterra Fredholm integral equation with discontinuous kernel, Journal of the Egyptian Mathematical Society, 1-10, 2020.
  2. Ramane, H.S, Shiralashetti S.C., Mundewadi R.A and Jummannaver R.B., Numerical Solution of Fredholm Integral Equations Using Hosoya Polynomial of Path Graphs, American Journal of Numerical Analysis, Vol. 5, No. 1, 11-15, 2017.
  3. D. Stevanovic, Hosoya polynomial of composite graphs, Department of Mathematics, Faculty of Philosophy, Cirila i Metodija 2, Niˇs 18000, Yugoslavia.
  4. E. V. Konstantinova, M. V. Diudea, The Wiener polynomial derivatives and other topological indices in chemical research, Croat. Chem. Acta 73, 383-403, 2000.
  5. G. Cash, S. Klavˇzar, M. Petkovˇsek, Three methods for calculation of the hyper–wiener index of molecular graphs, J.Chem. Inf. Comput. Sci. 43, 571-576, 2002.
  6. I. Gutman, Hosoya polynomial and the distance of the total graph of a tree, Publ. Elektrotehn. Fak. (Beograd) Ser. Mat.,10, 53-58, 1999.
  7. H. S. Ramane, K. P. Narayankar, S. S. Shirkol, A. B. Ganagi, Terminal Wiener index of line graphs, MATCH Commun. Math. Comput. Chem., 69, 775-782, 2013.
  8. N.Tratnika, P. Z. Pletersek, Relationship Between the Hosoya Polynomial and the Edge- Hosoya Polynomial of Trees, MATCH Commun. Math. Comput. Chem. 78, 181-187, 2017.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2021

Gönderilme Tarihi

11 Ekim 2021

Kabul Tarihi

2 Aralık 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 6 Sayı: 3

Kaynak Göster

APA
Geçmen, M. Z., Çelik, E., & Dokuyucu, M. A. (2021). Numerical Solution of Volterra Integral Equations Using Hosoya Polynomial. Turkish Journal of Science, 6(3), 110-117. https://izlik.org/JA37MM56CC
AMA
1.Geçmen MZ, Çelik E, Dokuyucu MA. Numerical Solution of Volterra Integral Equations Using Hosoya Polynomial. TJOS. 2021;6(3):110-117. https://izlik.org/JA37MM56CC
Chicago
Geçmen, Merve Zeynep, Ercan Çelik, ve Mustafa Ali Dokuyucu. 2021. “Numerical Solution of Volterra Integral Equations Using Hosoya Polynomial”. Turkish Journal of Science 6 (3): 110-17. https://izlik.org/JA37MM56CC.
EndNote
Geçmen MZ, Çelik E, Dokuyucu MA (01 Aralık 2021) Numerical Solution of Volterra Integral Equations Using Hosoya Polynomial. Turkish Journal of Science 6 3 110–117.
IEEE
[1]M. Z. Geçmen, E. Çelik, ve M. A. Dokuyucu, “Numerical Solution of Volterra Integral Equations Using Hosoya Polynomial”, TJOS, c. 6, sy 3, ss. 110–117, Ara. 2021, [çevrimiçi]. Erişim adresi: https://izlik.org/JA37MM56CC
ISNAD
Geçmen, Merve Zeynep - Çelik, Ercan - Dokuyucu, Mustafa Ali. “Numerical Solution of Volterra Integral Equations Using Hosoya Polynomial”. Turkish Journal of Science 6/3 (01 Aralık 2021): 110-117. https://izlik.org/JA37MM56CC.
JAMA
1.Geçmen MZ, Çelik E, Dokuyucu MA. Numerical Solution of Volterra Integral Equations Using Hosoya Polynomial. TJOS. 2021;6:110–117.
MLA
Geçmen, Merve Zeynep, vd. “Numerical Solution of Volterra Integral Equations Using Hosoya Polynomial”. Turkish Journal of Science, c. 6, sy 3, Aralık 2021, ss. 110-7, https://izlik.org/JA37MM56CC.
Vancouver
1.Merve Zeynep Geçmen, Ercan Çelik, Mustafa Ali Dokuyucu. Numerical Solution of Volterra Integral Equations Using Hosoya Polynomial. TJOS [Internet]. 01 Aralık 2021;6(3):110-7. Erişim adresi: https://izlik.org/JA37MM56CC