**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30075

##### On One Application of Hybrid Methods For Solving Volterra Integral Equations

**Authors:**
G.Mehdiyeva,
V.Ibrahimov,
M.Imanova

**Abstract:**

**Keywords:**
Volterra integral equation,
hybrid methods,
stability
and degree,
methods of quadrature

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1056687

**References:**

[1] Polishuk Ye. M. Vito Volterra. Leningrad, Nauka, 1977, 114p.

[2] V.Volterra. Theory of functional and of integral and integro-differensial equations, Dover publications. Ing, New York, 304.

[3] Verlan A.F., Sizikov V.S. Integral equations: methods, algorithms, programs. Kiev, Naukova Dumka, 1986.

[4] Manjirov A.V., Polyanin A.D. Reference book on integral equation. Solution methods. M., Factorial press", 2000, p.384.

[5] Mehdiyeva G.Yu., Imanova M.N., Ibrahimov V.R. A modification of the method of quadratures. Baku State University, series of physicomath. sciences, 2009,Ôäû3, Ðü.101-108

[6] A. Makroglou. Hybrid methods in the numerical solution of Volterra integro-differential equations. Journal of Numerical Analysis 2, 1982, pp.21-35

[7] Mehdiyeva G.Yu., Imanova M.N., Ibrahimov V.R. On one generalization of hybrid methods. Proceedings of the 4th international conference on approximation methods and numerical modeling in environment and natural resources, Saidia, Morocco, may 23-26, 2011, 543-547.

[8] V.R. Ibrahimov. On a nonlinear method for numerical calculation of the Cauchy problem for ordinary differential equation, Diff. equation and applications. Pron. of II International Conference Russe. Bulgarian, 1982, pp. 310-319.