(1) Department of Mathematics, Henan Normal University, 453002 Xinxiang, P. R. China
Abstract:
In this paper, a new three-level explicit difference scheme with high-order accuracy is proposed for solving three-dimensional
parabolic equations. The stability condition is r=Δt/Δx2=Δt/Δy2=Δt/Δx2<-1/4, and the truncation error is O(Δt2+Δx4).