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Fractional in time diffusion-wave equation and its numerical approximation

Delić Aleksandra (Faculty of Mathematics, Belgrade)

In this paper an initial-boundary value problem for fractional in time diffusion-wave equation is considered. A priori estimates in Sobolev spaces are derived. A fully discrete difference scheme approximating the problem is proposed and its stability and convergence are investigated. A numerical example demonstrates the theoretical results.

Keywords: fractional in time diffusion-wave equation, initial-boundary value problem, finite-differences, error-bounds

Projekat Ministarstva nauke Republike Srbije, br. 174015