TY  - JOUR
T1  - Numerical Solution of Volterra Integral Equations Using Hosoya Polynomial
AU  - Geçmen, Merve Zeynep
AU  - Çelik, Ercan
AU  - Dokuyucu, Mustafa Ali
PY  - 2021
DA  - December
JF  - Turkish Journal of Science
JO  - TJOS
PB  - Ahmet Ocak AKDEMİR
WT  - DergiPark
SN  - 2587-0971
SP  - 110
EP  - 117
VL  - 6
IS  - 3
LA  - en
AB  - In this study, Volterra integral equation is solved by Hosoya Polynomials. The solutions obtainedwith Hosoya method were compared on the figure and table. And error analysis was done. Matlab hasbeen used to obtain results, tables and error analysis.
KW  - Volterra Integral Equations
KW  - Hosoya Polynomial
KW  - Path Graphs
CR  - 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.
CR  - 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.
CR  - D. Stevanovic, Hosoya polynomial of composite graphs, Department of Mathematics, Faculty of Philosophy, Cirila i
Metodija 2, Niˇs 18000, Yugoslavia.
CR  - E. V. Konstantinova, M. V. Diudea, The Wiener polynomial derivatives and other topological indices in chemical
research, Croat. Chem. Acta 73, 383-403, 2000.
CR  - 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.
CR  - I. Gutman, Hosoya polynomial and the distance of the total graph of a tree, Publ. Elektrotehn. Fak. (Beograd) Ser.
Mat.,10, 53-58, 1999.
CR  - 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.
CR  - 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.
CR  - S. Upadhyay and K. N. Rai, Integral equation, https://www.researchgate.net/publication/283829675, November, 2015.
CR  - J. A.Zarnan, International Journal of Computer Science and Mobile Computing, Vol.5 Issue.7, pg. 509-514, July- 2016.
CR  - S. Saha Ray and P. K. Sahu, Numerical Methods for Solving Fredholm Integral Equations of Second Kind, Hindawi
Publishing Corporation ,Abstract and Applied Analysis, Volume 2013.
CR  - Ar, N. and Farman, T., Hosoya Polynomial and Topological Indices of the Jahangir Graph J7,m, Journal of Applied and
Computational Mathematics, 7, 1-5, 2018.
CR  - Gecmen, MZ., and Celik, E., Numerical solution of Volterra–Fredholm integral equations with Hosoya polynomials,
Mathematical Methods in the Applied Sciences, 44 (12), 2021.
UR  - https://dergipark.org.tr/en/pub/tjos/article/1007790
L1  - https://dergipark.org.tr/en/download/article-file/2019406
ER  -