对抛物型偏微分方程一种新的数值解法的研究

The Study of a New Numerical Method for Parabolic Partial Differential Equations

根据抛物型偏微分方程数值解法的研究,对抛物型偏微分方程提出了新的数值解法.该方法在稳定性方面具有一定的优势,并具有计算简单,无条件稳定,误差小,编程方便等优点.证明了无条件稳定性,分析了相容性及收敛性,最后进行数值试验,验证了它的可行性.

This paper proposed a new numerical method for Parabolic Partial Differential Equations ac-cording to the study of the numerical solution of parabolic equation. This method has certain advantages in terms of stability and has a simple calculation,unconditionally stable, the error is small, convenient program-ming.Verified the unconditional stability, theoretically analyzed the compatibility and convergence. Finally, correctness of it is verified with numerical experiments.