%0 Journal Article
%T A Second Order Fully Discrete Difference Scheme for a Nonlinear Partial Integro-Differential Equation<br>一类非线性偏积分微分方程二阶差分全离散格式
%A CHEN Hongbin
%A XU Da
%A <br>陈红斌
%J 系统科学与数学
%D 2008
%I 
%X In this paper, the second order fully discrete difference method for a nonlinear partial integro-differential equation is considered. The integral term is treated by means of the second order convolution quadrature raised by Lubich. By the second order backward difference scheme, the stability and the error estimate are given.
%K Partial integro-differential equation
%K fractional calculus
%K nvolution quadrature
%K finite difference scheme
%K second order fully discrete scheme<br>偏积分微分方程
%K 分数次计算
%K 卷积积分
%K 差分格式
%K 二阶全离散.
%K 非线性
%K 偏积分微分方程
%K 二阶差分
%K 全离散格式
%K EQUATION
%K PARTIAL
%K NONLINEAR
%K DIFFERENCE
%K SCHEME
%K DISCRETE
%K 结果
%K 收敛性
%K 误差估计
%K 稳定性
%K 求积公式
%K 卷积
%K 利用
%K 差分格式
%K 二阶全离散
%K 数值求解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=1C5270B5117480AFEE064F19424956CA&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=CA4FD0336C81A37A&sid=92E739FCADD7E6BB&eid=E329DF95201F63CD&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=9