On convergence in theL 2 norm of difference schemes for systems of parabolic partial differential equations

1993 ◽  
Vol 33 (3) ◽  
pp. 208-216 ◽  
Author(s):  
Raim Čiegis ◽  
Rem Čiegis ◽  
M. Meilūnas
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Difference Schemes ◽  
Parabolic Partial Differential Equations ◽  
Partial Differential

scholarly journals On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Allaberen Ashyralyev ◽  
Zafer Cakir
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Numerical Solution ◽  
Dirichlet Condition ◽  
Difference Schemes ◽  
Parabolic Partial Differential Equations ◽  
Stability Estimates ◽  
Partial Differential ◽  
Order Of Accuracy ◽  
Gauss Elimination

The first and second order of accuracy stable difference schemes for the numerical solution of the mixed problem for the fractional parabolic equation are presented. Stability and almost coercive stability estimates for the solution of these difference schemes are obtained. A procedure of modified Gauss elimination method is used for solving these difference schemes in the case of one-dimensional fractional parabolic partial differential equations.

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