Issues of one kind of integro-differential equations
Abstract
We consider one kind of equations that combines a derivative of state and an integro-differential term (integro-differential equation of second kind). The exact solution of this class of equations can be obtained by means of Volterra integral equation of the second kind, and the numerical solutions are obtained by the developing numerical methods in this paper. We compare both solutions by their graphs.
- Publication:
-
Numerical Analysis and Applied Mathematics ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics
- Pub Date:
- September 2012
- DOI:
- 10.1063/1.4756668
- Bibcode:
- 2012AIPC.1479.2360C
- Keywords:
-
- graphs;
- integro-differential equations;
- numerical analysis;
- Volterra equations;
- 02.30.Rz;
- 02.60.Nm;
- Integral equations;
- Integral and integrodifferential equations