解双抛物型方程的高精度稳定差分格式

A higher accurate stable difference scheme for solving bi-parabolic equation

提出解双抛物型方程的高精度隐式无条件稳定差分格式,其局部截断误差为O(τ2+h4).双抛物型方程分解为两个二阶抛物型方程,其一为非齐次,另一为齐次,每一个均用局部截断误差为O(τ2+h4)的稳定差分格式来解.

An implicit unconditionally stable of higher accuracy for bi-parabolic equation is derived, its local truncation error is O(τ~2+h^4). The bi-parabolic equation is decomposed into two second order parabolic equation, the one is nonhomogeneous and other one is homogeneous, the two equations are all solved by stable difference schence of truucation error O(τ~2+h^4).