[1]林强.一类退化的非线性抛物型方程组的Galerkin方法[J].深圳大学学报理工版,1985,(1-2):17-35.
 Lin Qiang.Galerkin Methods for a Class of Degenerate Nonlinear Parbolic Equations[J].Journal of Shenzhen University Science and Engineering,1985,(1-2):17-35.
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一类退化的非线性抛物型方程组的Galerkin方法()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
期数:
1985年1-2期
页码:
17-35
栏目:
环境与能源
出版日期:
1985-06-30

文章信息/Info

Title:
Galerkin Methods for a Class of Degenerate Nonlinear Parbolic Equations
作者:
林强
深圳大学计算中心
Author(s):
Lin Qiang
Computer Centre
文献标志码:
A
摘要:
本文考察了退化的非线性抛物型方程组Ut(x,t)=A(x,t)Uxx+f(x,t,u)的Galerkin 方法, 证明了在一定条件下其广义解和Galerikn 近似解的存在唯一性, 并且给出了连续时间和几种离散时间的Galerkin 近似解的误差估计.
Abstract:
This paper investigates the Galerkin methods for the degenerate nonlinear parabolic equation
Ut(x,t)=A(x,t)Uxx+f(x,t,u) and discusses the existence and uniqueness of the generalized solution and Galerkin approximate solutions, and arrives at the error estimates of the continuous—time and several discrete-time Galerkin approximations.
更新日期/Last Update: 2016-05-23