scholarly journals Implicit Difference Methods for Quasilinear Differential Functional Equations on the Haar Pyramid

2008 ◽  
pp. 213-231 ◽  
Author(s):  
A. Kepczyńska
Keyword(s):  
Functional Equations ◽  
Implicit Difference Methods ◽  
Difference Methods

Stability of Implicit Difference Equations Generated by Parabolic Functional Differential Problems

2007 ◽  
Vol 7 (1) ◽  
pp. 68-82
Author(s):  
K. Kropielnicka
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Initial Boundary ◽  
Numerical Examples ◽  
Convergence Results ◽  
Nonlinear Parabolic ◽  
Implicit Difference Methods ◽  
Neumann Type ◽  
Difference Methods ◽  
Functional Differential

AbstractA general class of implicit difference methods for nonlinear parabolic functional differential equations with initial boundary conditions of the Neumann type is constructed. Convergence results are proved by means of consistency and stability arguments. It is assumed that given functions satisfy nonlinear estimates of Perron type with respect to functional variables. Differential equations with deviated variables and differential integral problems can be obtained from a general model by specializing given operators. The results are illustrated by numerical examples.

Difference methods for impulsive differential-functional equations

1995 ◽  
Vol 16 (4) ◽  
pp. 401-416 ◽  
Author(s):  
Drumi D. Bainov ◽  
Zdzislaw Kamont ◽  
Emil Minchev
Keyword(s):  
Functional Equations ◽  
Difference Methods
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