A finite difference method with accuracies of fourth order in space and second order in time is proposed for time-periodic solutions of a nonlinear parabolic boundary value problem.

• 摘要建立了一个用于求解非线性抛物型方程时间周期解的有限差分方法，在空间和时间方向上该方法分别具有四阶和两阶精度。