solutions to diffusion-wave equation in a body with a spherical cavity under dirichlet boundary condition
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ID: 165380
2011
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Abstract
Solutions to time-fractional diffusion-wave equation with a source term in spherical coordinates are obtained for an infinite medium with a spherical cavity. The solutions are found using the Laplace transform with respect to time t, the finite Fourier transform with respect to the angular coordinate ϕ, the Legendre transform with respect to the spatial coordinate μ, and the Weber transform of the order n+1/2 with respect to the radial coordinate r. In the central symmetric case with one spatial coordinate r the obtained resultscoincide with those studied earlier.
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povstenko2011ansolutions
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| Authors | ;Yuriy POVSTENKO |
| Journal | 2018 2nd international symposium on small-scale intelligent manufacturing systems, sims 2018 |
| Year | 2011 |
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