Stability of Implicit Difference Schemes for a Linearized Hyperbolic Quasi-Gasdynamic System of Equations

2020 ◽  
Vol 56 (7) ◽  
pp. 910-922
Author(s):  
A. A. Zlotnik ◽  
B. N. Chetverushkin
Keyword(s):  
Difference Schemes ◽  
System Of Equations ◽  
Implicit Difference Schemes

scholarly journals Implicit difference schemes for quasilinear parabolic functional equations

2012 ◽  
Vol 45 (4) ◽  
Author(s):  
Milena Matusik
Keyword(s):  
Numerical Methods ◽  
Differential Equations ◽  
Functional Differential Equations ◽  
Initial Boundary ◽  
Difference Schemes ◽  
New Class ◽  
Implicit Difference Schemes ◽  
Functional Differential ◽  
The Stability ◽  
Quasilinear Parabolic

AbstractWe present a new class of numerical methods for quasilinear parabolic functional differential equations with initial boundary conditions of the Robin type. The numerical methods are difference schemes which are implicit with respect to time variable. We give a complete convergence analysis for the methods and we show that the new methods are considerable better than the explicit schemes. The proof of the stability is based on a comparison technique with nonlinear estimates of the Perron type for given functions with respect to functional variables. Results obtained in the paper can be applied to differential equations with deviated variables and to differential integral problems.

A study of implicit difference schemes for inviscid equations

1980 ◽  
Vol 8 (4) ◽  
pp. 413-420 ◽  
Author(s):  
B.N. Srivastava ◽  
M.J. Werle ◽  
R.T. Davis
Keyword(s):  
Difference Schemes ◽  
Implicit Difference Schemes
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