守恒型非自共轭奇摄动问题的任意阶差分格式

本文对守恒型非自共轭奇摄动问题,构造一个任意阶差分格式。

四维热传导方程的一族两层显格式

构造了解四维热传导方程的一族两层显格式,证明了当截断误差为O(△t+△x2)时,其稳定性条件为网比r=△t/△x2=△t/△y2=△t/△z2=△t／△w2≤11／24优于同类的其他显格式,当截断误差阶为O(△t2+△x4)时,此格式为一个简洁而实用的高精度两层显格式。

A-high-order Accuraqcy Implicit Difference Scheme for Solving the Equation of Parabolic Type

In this paper,a implicit difference scheme is proposed for solving the equation of one_dimension parabolic type by undetermined paameters.The stability condition is r=αΔt/Δx 2 1/2 and the truncation error is o(Δt 4+Δx 4) It can be easily solved by double sweeping method.

An Explicit Difference Scheme with High Accuracy and Branching Stability for Solving Parabolic Partial Differential Equation

This paper presents an explicit difference scheme with accuracy and branching stability for solving onedimensional parabolic type equation by the method of undetermined parameters and its truncation error is O(△t4+△x4). The stability condition is r=a△t/△x2<1/2.