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三维抛物型方程的一个高精度显格式
引用本文:马明书.三维抛物型方程的一个高精度显格式[J].河南师范大学学报(自然科学版),1997,25(1):12-15.
作者姓名:马明书
作者单位:河南师范大学数学系
摘    要: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,应用方便

关 键 词:高精度  显式差分格式  三维抛物型方程

A High order Accuracy ExplicitDifference Schemes for Solving the Equation of Three dimensional Parabolic Type
Ma Mingshu.A High order Accuracy ExplicitDifference Schemes for Solving the Equation of Three dimensional Parabolic Type[J].Journal of Henan Normal University(Natural Science),1997,25(1):12-15.
Authors:Ma Mingshu
Abstract: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.
Keywords:high  accuracy  explicit difference scheme  three-dimensional parablic equation
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