On one investigation of numerical solution of integro-differential equations of Volterra type

摘要

Starting with Volterra's paper, the scientists investigate the solutions of scientific-technical problems by means of integro-differential equations. For finding the approximate solutions of such equation, the quadratures method suggested by Volterra were mainly used. Taking into account some advantages of hybrid methods Makroglou applied them to numerical solution of integro-differential equation. Developing the indicated idea Makroglou constructed a new hybrid method with higher accuracy and this method was applied to the numerical solution of Volterra type integro-differential equation.