Application of the hybrid method with constant coefficients to solving the integrodifferential equations of first order
Abstract
As is well known investigation of many processes of natural sciences reduce to the solving of initial value problem for integrodifferential equations which are one of the priority areas of modern mathematics. To define the exact solution of such problems is not always possible. Therefore the scientists constructed approximate methods for solving them. There are a number of papers devoted to finding approximate solutions of integrodifferential equations. Unlike at papers investigated, here the numerical solution of initial value problem for Volterra integrodifferential equations by the hybrid methods, constructed concrete methods with the degree p ≤ 6 and suggested algorithm for using them.
 Publication:

9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences: ICNPAA 2012
 Pub Date:
 November 2012
 DOI:
 10.1063/1.4765535
 Bibcode:
 2012AIPC.1493..506M
 Keywords:

 initial value problems;
 integrodifferential equations;
 Volterra equations;
 02.30.f;
 02.60.Nm;
 Function theory analysis;
 Integral and integrodifferential equations