Abstract :

The solving of some problem of the natural science are reduce to solving of the initial value problem for integro-differential equations. The numerically solution of such problems has been studied relatively little. Therefore, here we consider to construction of the more exact methods and their applications to solving of the initial value problem for Volterra integro-differential equations of the second order. To this end, here it is proposed to use the second derivative multistep hybrid methods and have constructed the specific methods of the order of accuracy p<=6 that were applied to solving of the model problem.