Stability of difference schemes for parabolic equations with dynamical boundary conditions and conditions on conjugation

2005 ◽  
Vol 163 (2) ◽  
pp. 849-868 ◽  
Author(s):  
Bosko S. Jovanović ◽  
Lubin G. Vulkov
Keyword(s):  
Boundary Conditions ◽  
Parabolic Equations ◽  
Difference Schemes ◽  
Stability Of Difference Schemes ◽  
Dynamical Boundary Conditions

scholarly journals Stability of delay parabolic difference equations

Filomat ◽  
2014 ◽  
Vol 28 (5) ◽  
pp. 995-1006 ◽  
Author(s):  
Allaberen Ashyralyev ◽  
Deniz Agirseven
Keyword(s):  
Parabolic Equations ◽  
Approximate Solutions ◽  
Difference Schemes ◽  
Stability Estimates ◽  
Unbounded Operators ◽  
Stability Of Difference Schemes ◽  
Fractional Spaces ◽  
The Stability ◽  
Delay Differential ◽  
Parabolic Difference

In the present paper, the stability of difference schemes for the approximate solution of the initial value problem for delay differential equations with unbounded operators acting on delay terms in an arbitrary Banach space is studied. Theorems on stability of these difference schemes in fractional spaces are established. In practice, the stability estimates in H?lder norms for the solutions of difference schemes for the approximate solutions of the mixed problems for delay parabolic equations are obtained.

scholarly journals Economical factorized schemes for third-order pseudoparabolic equations

2021 ◽  
pp. 44-57
Author(s):  
Мурат Хамидбиевич Бештоков
Keyword(s):  
General Theory ◽  
Parabolic Equations ◽  
Difference Schemes ◽  
Stability And Convergence ◽  
Third Order ◽  
The Third ◽  
Stability Of Difference Schemes ◽  
The Stability ◽  
Pseudoparabolic Equations

Изучены экономичные факторизованные схемы для псевдопараболических уравнений третьего порядка. На основе общей теории устойчивости разностных схем доказаны устойчивость и сходимость разностных схем. Economical factorized schemes for pseudo-parabolic equations of the third order are studied. On the basis of the general theory of stability of difference schemes, the stability and convergence of difference schemes are proved.

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