High accuracy difference schemes for a class of three space dimensional singular parabolic equations with variable coefficients
Finite difference schemes for the three-dimensional heat conduction equation and the unsteady Navier-Stokes equations in polar coordinates are developed. The schemes enjoy second-order accuracy in time and fourth-order accuracy in space and unconditionally stable ADI methods for their solution are discussed. Numerical experiments indicate that the methods retain their accuracy even close to the polar singularity.
scientific article; zbMATH DE number 1180782