Solutions to Time-Fractional Diffusion-Wave Equation in Spherical Coordinates

• Autorzy: Povstenko Y.
• Języki publikacji: EN

Abstrakty

EN

Solutions to time-fractional diffusion-wave equation with a source term in spherical coordinates are obtained for an infinite medium. The solutions are found using the Laplace transform with respect to time t, the finite Fourier transform with respect to the angular coordinate , the Legendre transform with respect to the spatial coordinate , and the Hankel transform of the order n+1/2 with respect to the radial coordinate . In the central symmetric case with one spatial coordinate the obtained results coincide with those studied earlier.

Słowa kluczowe

EN

Laplace transform; Fourier transform; diffusion equation

PL

transformata Laplace'a; transformata Fouriera; równanie dyfuzji

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2011
• Tom: Vol. 5, no. 2
• Strony: 108--111
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Povstenko Y.

• Jan Długosz University in Częstochowa, Częstochowa, Poland,

Bibliografia

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