Solutions to Time-Fractional Diffusion-Wave Equation in Cylindrical Coordinates
<p/> <p>Nonaxisymmetric solutions to time-fractional diffusion-wave equation with a source term in cylindrical coordinates are obtained for an infinite medium. The solutions are found using the Laplace transform with respect to time <inline-formula><graphic file="1687-1847-...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2011/930297 |
| Summary: | <p/> <p>Nonaxisymmetric solutions to time-fractional diffusion-wave equation with a source term in cylindrical coordinates are obtained for an infinite medium. The solutions are found using the Laplace transform with respect to time <inline-formula><graphic file="1687-1847-2011-930297-i1.gif"/></inline-formula>, the Hankel transform with respect to the radial coordinate <inline-formula><graphic file="1687-1847-2011-930297-i2.gif"/></inline-formula>, the finite Fourier transform with respect to the angular coordinate <inline-formula><graphic file="1687-1847-2011-930297-i3.gif"/></inline-formula>, and the exponential Fourier transform with respect to the spatial coordinate <inline-formula><graphic file="1687-1847-2011-930297-i4.gif"/></inline-formula>. Numerical results are illustrated graphically.</p> |
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| ISSN: | 1687-1839 1687-1847 |