One a way for Constructing Hybrid Methods with the Constant Coefficients and their Applied

Abstract

As is known, the model problem for some scientific and technical problems is formulated with the help of the integro-differential equations of Volterra type of the second order. And for solving of such equations, numerical methods are mainly used. Numerical solution of nonlinear integro-differential equations of Volterra type has been studied relatively little. Therefore, here we consider the construction and application of numerical methods to solving Volterra’s nonlinear integro-differential equations. Here, are constructed specific methods which are applied to solving of the model problem and are proved the advantage of the proposed method.