A note on the difference schemes for hyperbolic-elliptic equations

作者:A Ashyralyev; G Judakova; P E Sobolevskii
来源:Abstract and Applied Analysis, 2006.
DOI:10.1155/aaa/2006/14816

摘要

The nonlocal boundary value problem for hyperbolic-elliptic equation d 2 u( t ) / d t 2 +Au( t )=f( t ) , ( 0≒t≒1 ) , d 2 u( t ) / d t 2 +Au( t )=g( t ) , ( 1≒t≒0 ) , u( 0 )= , u( 1 )=u( 1 ) in a Hilbert space H is considered. The second order of accuracy difference schemes for approximate solutions of this boundary value problem are presented. The stability estimates for the solution of these difference schemes are established.

  • 出版日期2006

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