摘要
本文对一类半线性变系数抛物型方程初边值问题建立了一个二阶差分格式,证明了差分格式解的存在唯一性、关于初值的无条件稳定性和在L∞范数下阶数为O(2τ+h2)的收敛性,最后给出的数值算例验证了理论结果。
In this paper,we construct a finite difference scheme for some semi-linear parabolic systems.The unique solvability,unconditional stability and convergence of the difference scheme are proved,the convergence order in maximum norm is of order two in both space and time.A numerical example is presented to demonstrate the theoretical results.
出处
《青岛农业大学学报（自然科学版）》
2010年第3期252-254,257,共4页
Journal of Qingdao Agricultural University(Natural Science)
基金
山东省自然科学基金(ZR2009AL012)
