Application of the hybrid method with constant coefficients to solving the integro-differential 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 integro-differential 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 integro-differential equations. Unlike at papers investigated, here the numerical solution of initial value problem for Volterra integro-differential 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;
- integro-differential equations;
- Volterra equations;
- 02.30.-f;
- 02.60.Nm;
- Function theory analysis;
- Integral and integrodifferential equations