About one parallel algorithm of solving non-local contact problem for parabolic equations

2017 ◽  
Author(s):  
Tinatin Davitashvili ◽  
Hamlet Meladze ◽  
Nugzar Skhirtladze
Keyword(s):  
Contact Problem ◽  
Parallel Algorithm ◽  
Parabolic Equations ◽  
Local Contact ◽  
Non Local

scholarly journals Regularity for solutions of non local parabolic equations

2012 ◽  
Vol 49 (1-2) ◽  
pp. 139-172 ◽  
Author(s):  
Héctor Chang Lara ◽  
Gonzalo Dávila
Keyword(s):  
Parabolic Equations ◽  
Non Local

scholarly journals Hölder estimates for singular non-local parabolic equations

2011 ◽  
Vol 261 (12) ◽  
pp. 3482-3518 ◽  
Author(s):  
Sunghoon Kim ◽  
Ki-Ahm Lee
Keyword(s):  
Parabolic Equations ◽  
Non Local ◽  
Hölder Estimates

scholarly journals Finite difference approximations for a class of non-local parabolic equations

1997 ◽  
Vol 20 (1) ◽  
pp. 147-163 ◽  
Author(s):  
Yanping Lin ◽  
Shuzhan Xu ◽  
Hong-Ming Yin
Keyword(s):  
Finite Difference ◽  
Parabolic Equations ◽  
The Maximum Principle ◽  
Local Boundary ◽  
Finite Difference Approximations ◽  
Fully Implicit ◽  
Difference Approximations ◽  
Backward Euler ◽  
Local Boundary Condition ◽  
Non Local

In this paper we study finite difference procedures for a class of parabolic equations with non-local boundary condition. The semi-implicit and fully implicit backward Euler schemes are studied. It is proved that both schemes preserve the maximum principle and monotonicity of the solution of the original equation, and fully-implicit scheme also possesses strict monotonicity. It is also proved that finite difference solutions approach to zero ast→∞exponentially. The numerical results of some examples are presented, which support our theoretical justifications.

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