Stability of an implicit difference scheme for a linear differential-algebraic system of partial differential equations

2010 ◽  
Vol 50 (4) ◽  
pp. 673-683 ◽  
Author(s):  
S. V. Gaidomak
2015 ◽  
Vol 52 (9) ◽  
pp. 091004
Author(s):  
王琳霖 Wang Linlin ◽  
唐晨 Tang Chen ◽  
王亚杰 Wang Yajie

2009 ◽  
Vol 2009 ◽  
pp. 1-11 ◽  
Author(s):  
Allaberen Ashyralyev ◽  
Fadime Dal ◽  
Zehra Pinar

The stable difference scheme for the numerical solution of the mixed problem for the multidimensional fractional hyperbolic equation is presented. Stability estimates for the solution of this difference scheme and for the first and second orders difference derivatives are obtained. A procedure of modified Gauss elimination method is used for solving this difference scheme in the case of one-dimensional fractional hyperbolic partial differential equations.


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