Numerical solutions to integrodifferential equations which interpolate heat and wave equations
arXiv:math/0508564
Abstract
In the paper we study some numerical solutions to Volterra equations which interpolate heat and wave equations. We present a scheme for construction of approximate numerical solutions for one and two spatial dimensions. Some solutions to the stochastic version of such equations (for one spatial dimension) are presented as well.
15 pages, 5 figures. Extended version of the talk given by P.R. at Second International Conference of Applied Mathematics, Plovdiv, Bulgaria, August 12-18, 2005