Analytic solution with a priori error bounds for a class of mixed coupled partial differential equations

被引:0
作者
Navarro, E [1 ]
Ferrer, MV [1 ]
Jodar, L [1 ]
机构
[1] UNIV JAUME I, DEPT MATH & INFORMAT, Castellon de La Plana, SPAIN
关键词
algebraic matrix equation; stable block diagonalization; partial differential system; approximate solution; a priori error bound;
D O I
10.1016/0898-1221(95)00203-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the existence of a sequence of stable solutions X(n) of the parametric matrix equation Z(2) + AZ - n(2)B = 0 so that {X(n)/n} converges to a stable matrix is studied. The result is used for solving mixed problems related to the coupled second-order partial differential system mu(tt) + A mu(xx) + B mu(t) = 0.
引用
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页码:19 / 31
页数:13
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