A Finite Difference Scheme for a Class of Nonlinear Parabolic Systems in 3D Space Variables

In this paper, we establish error bound analysis for a finite-difference approximation to the solutions for a class of Nonlinear Parabolic Systems in the form ­r­t.¨q ­r­x.f ¨.q ­r­y.g ¨.q ­r­z.h ¨.sDD¨. We assume that the initial data is sufficiently smooth and of class BV. The error is proved to be bounded by O D x N ln D x <. for all positive time in an appropriate norm