解抛物型方程的一个高精度差分格式

A High Accuracy Differencing Scheme for Solving the Parabolic Equation

本文给出了一个解抛物型方程的恒稳定的差分格式,计算量较小,截断误差达0(ΔtΔx^2+Δx^4+Δt^4)。

In this paper,a high accuracy differencing scheme for solving the paramelerequation is given,using the method of undetermined ate coefficients.The scheme is absolutelystabile.The computation is simple.The order of the truncation erroris 0(ΔtΔx^2+Δx^4+Δt^4).