三维抛物型方程的一族高精度分支稳定显格式

A Family of High-Order Accuracy Explicit Difference Schemes With Branching Stability for Solving 3-D Parabolic Partial Differential Equation

构造了一族解三维抛物型方程的高精度显格式 ,其稳定性条件为r=Δt/Δx2 =Δt/Δy2 =Δt/Δz2 <1/2 ,截断误差为O(Δt2 +Δx4 ) ·

A family of high_order accuracy explict difference schemes for solving 3_dimension parabolic P.D.E. is constructed. The stability condition is r= Δ t/ Δ x 2= Δ t/ Δ y 2= Δ t/ Δ z 2<1/2,and the truncation error is O( Δ t 2+ Δ x 4).