AUTHORS: Mehdiyeva Galina, Ibrahimov Vagif, Imanova Mehriban

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ABSTRACT: As is known there are some classes of the numerical methods for solving the Volterra integral equations. Each of them has the advantages and disadvantages. Therefore the scientists in often construct the methods for solving Volterra integral equations, having some advantages. Here for the construction of the methods with the best properties have used the advanced multistep and hybrid methods. Prove that, there are stable methods on the junction of these methods. And also, prove the existence of the stable methods with the degree kp +> 13 , and one of the constructed, here methods have applied to the solving of the model equation. And also described the way for finding the coefficients of the proposed method and also have defined the necessary condition for satisfying the coefficients of these methods.

KEYWORDS: - Volterra integral equation, hybrid methods, forward jumping methods

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