摘要
针对Burgers方程的初边值问题建立了全离散两层加权中心差分格式,得到了差分解的L_2模估计,证明了差分解的存在性、收敛性和稳定性,并且得到了显格式和弱隐格式对于步长T和h的限制条件.
The existence,convergence and stability of the full-discrete center difference schemes with a parameterαfor the mixed problems of Burgers' equation are considered.The estimates of the difference solution are obtained.Especially the restriction conditions to the step-lengthτand h for the explicit and weakly implicit schemes are found.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
2012年第1期57-62,共6页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(10901076)