Numerical solutions to integrodifferential equations which interpolate heat and wave equations

Details Numerical solutions to integrodifferential equations which interpolate heat and wave equations Numerical solutions to integrodifferential equations which interpolate heat and wave equations

2005-08-29

arxiv.org/abs/math/0508564v1

International Journal of Differential Equations and Applications Vol. 10, No 1 (2005) 15-27.

Mathematics

Numerical Analysis

15 pages, 5 figures. Extended version of the talk given by P.R. at Second International Conference of Applied Mathematics, Plo

Scientific paper

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.

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