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一类非线性伪抛物型方程的D-R格式
引用本文:舒阿秀. 一类非线性伪抛物型方程的D-R格式[J]. 安庆师范学院学报(自然科学版), 2007, 13(3): 1-2
作者姓名:舒阿秀
作者单位:华东师范大学,数学系,上海,200062;安庆师范学院,数学与计算科学学院,安徽,安庆,246133
摘    要:针对一类非线性伪抛物型方程,构造了D-R格式,并给出了截断误差阶估计。该方法通过求解两个线性代数方程得到原问题的解,避免了非线性迭代运算,提高了计算效率。

关 键 词:伪抛物型方程  D-R格式  截断误差阶估计
文章编号:1007-4260(2007)03-0001-02
修稿时间:2006-12-30

Douglas-Rachford Scheme for A Type of Nonlinear Pseudo-Parabolic Equations
SHU A-xiu. Douglas-Rachford Scheme for A Type of Nonlinear Pseudo-Parabolic Equations[J]. Journal of Anqing Teachers College(Natural Science Edition), 2007, 13(3): 1-2
Authors:SHU A-xiu
Affiliation:1. Department of Mathematics, East China Normal University, Shanghai 200062; 2.School of Mathematics and Computing Science, Anqing Teachers College, Anqing 246133, China
Abstract:A Douglas-Rachford Scheme is constructed for a nonlinear Pseudo-Parabo-lic equation.The truncation error estimates are given.By solving two linear algebraic equations to obtain their solutions,the nonlinear iterative algorithm is avoided and the calculating efficiency is enhanced.
Keywords:pseudo-parabolic equation  Douglas-Rachford scheme  truncation error estimate
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