The paper proposes a second mixed Legendre-spherical harmonic pseudospectral scheme for the Fisher equation in a domain between two concentric balls. Legendre interpolation is used in the radial direction, and spherical harmonic interpolation in other directions. The second order central difference quotient is used for time derivatives. Numerical results show high accuracy of the proposed algorithm.
DENG Hong-Mei, HUANG Wei
. A second order accurate mixed legendre-spherical harmonic pseudo-spectral method for the
Fisher equation[J]. Journal of Shanghai University, 2015
, 21(03)
: 331
-335
.
DOI: 10.3969/j.issn.1007-2861.2014.01.038
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