Abstract
This study presents a numerical convolution representation of a potential induced from a disk of surface density, which has often been investigated in the center region of galaxies. The advantage of this representation is to release the softening length for the -body method and artificial boundary conditions for the spectral methods. With the help of fast Fourier transform, the computational complexity is only , where is the number of zones in one dimension. Numerical results show an almost second order of accuracy on a Cartesian coordinate system. A comparison study also demonstrates that this method can calculate the potential for disk surface density based on the uniform grids.
Citation
Chien-Chang Yen. "A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/693537