摘要
本文讨论一类非局部抛物边值问题的适定性及其数值解法．论证了解的存在、唯一和对问题数据的连续依赖性，然后构造出问题的一个全离散Ｇａｌｅｒｋｉｎ近似，并给出近似解的稳定性和收敛性分析．数值结果验证了本文方法的有效性．
The aim of this paper is to study wellposedness and numerical method for aclass of nonlocal parabolic boundary value problems. First the ekistence,piqueness andcontinuous dependence of the solution upon the data are demonstrated,and then a fullydiscretized Galerkin approximation scheme is established. It is proved that both numericalsolutions are stable and convergent.The efficiency of the numerical method is testified bynumerical examples.
出处
《应用数学学报》
CSCD
北大核心
1996年第2期279-289,共11页
Acta Mathematicae Applicatae Sinica
