三维抛物型方程的一个高精度显格式

A High order Accuracy ExplicitDifference Schemes for Solving the Equation of Three dimensional Parabolic Type

本文构造了一个解三维抛物型方程的高精度显格式，截断误差为Ｏ（Δｔ２＋Δｘ４），稳定性条件为ｒ＝Δｔ／Δｘ２＝Δｔ／Δｙ２＝Δｔ／Δｚ２≤１／６，格式表达式简单。

In this paper, a three level explicit ,two tevel specially,explicit difference schemes with high order accuracy for solving the three dimensional parablic equations is proposed ,its truncation error is O(Δt 2+Δx 4)and stable condition is r=ΔtΔx 2=ΔtΔy 2=ΔtΔz 2≤16,its expression is simple and good applictive.