Solutions to Diffusion-Wave Equation in a Body with a Spherical Cavity under Dirichlet Boundary Condition

An International Journal of Optimization and Control: Theories & Applications

article

Yuriy POVSTENKO¹ 

[1] Jan Dlugosz University

关键词: Diffusion-wave equation;    Laplace transform;    Fourier transform;    Legendre transform;    Weber transform;    Mittag-Leffler function;   

DOI  :  10.11121/ijocta.01.2011.0035

学科分类：地球科学(综合)

来源: Balikesir University

【 摘 要 】

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 Ï•, 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.

【 授权许可】

CC BY