We find a spectral method for the solutions to linear Lamé system in the spherical domain. We represent the solutions in terms of spherical harmonics and find an algorithm deciding each coefficients of the given degree. A concrete power series expansions using the associated Legendre functions for three dimension and complex variables functions for two dimension are derived.
Bibliographical noteFunding Information:
The first author was supported by KOSEF, GARC and BSRI prg. of Korea Ministry of Educations.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics