An O(K2 + h4) Finite Difference Method for One-Space Burger's Equation in Polar Coordinates

A two-level implicit difference method of O(k2 + h4) for a class of singular initial boundary value problem, where α, β, γ, and ν are constants, is discussed using three spatial grid points. The method is shown to be unconditionally stable when applied to linearized equations. The fourth-order convergence for a fixed mesh ratio parameter is illustrated with the help of two examples. © 1996 John Wiley & Sons, Inc.