A FOURTH-ORDER DIFFERENCE SCHEME FOR QUASILINEAR POISSON EQUATION IN POLAR CO-ORDINATES.

We present in this paper a nine-point, fourth-order difference scheme for the numerical solution of the quasilinear Poisson equation in polar co-ordinates, [This equation can not be represented in ASCII.TXT] with appropriate boundary conditions. A separate difference scheme of order four valid at r = 0 has also been obtained. The method is based on five evaluations of the function f. The numerical results of two problems obtained using this scheme are listed. The numerical results demonstrate the fourth-order accuracy of the scheme. [ABSTRACT FROM AUTHOR]