四阶抛物型方程的一个新的高精度显格式

A New Explicit Difference for Solving Four Order Parabolic Equation

给出解四阶抛物型方程的一个新的显式差分格式 ,其截断误差和稳定性条件分别为O(△t2 +△x6 )和r=△t/△x4 <1/ 16.

A three-level explicit difference scheme is proposed fo r solving four-order parabolic equation. The scheme meets a stability condition of r=△ t/△ x4 <1/16 and shows a local truncation error of O( △ t2+△ x 6 ).