Fractional in time diffusion-wave equation and its numerical approximation | Zendy

Aleksandra Delić | Zendy

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Fractional in time diffusion-wave equation and its numerical approximation

Author(s) -

Aleksandra Delić

Publication year - 2016

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1605375d

Subject(s) - mathematics , sobolev space , stability (learning theory) , convergence (economics) , mathematical analysis , a priori and a posteriori , wave equation , diffusion , diffusion equation , boundary value problem , a priori estimate , scheme (mathematics) , philosophy , physics , economy , epistemology , service (business) , machine learning , computer science , economics , thermodynamics , economic growth

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.

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