Ms. Ma, A NEW HIGH-ORDER ACCURACY EXPLICIT DIFFERENCE SCHEME FOR SOLVING 3-DIMENSIONAL PARABOLIC EQUATIONS, Applied mathematics and mechanics, 19(5), 1998, pp. 497-501
In this paper, a new three-level explicit difference scheme with high-
order accuracy is proposed for solving three-dimensional parabolic equ
ations. The stability condition is r = Delta t/Delta x(2) = Delta t/De
lta gamma(2) = Delta t/Delta z(2) less than or equal to 1/4, and the t
runcation error is O(Delta t(2) + Delta x(4)).