Improved Accuracy Estimates of the Difference Scheme for the Two-Dimensional Parabolic Equation with Regard for the Effect of Initial and Boundary Conditions

Improved Accuracy Estimates of the Difference Scheme for the Two-Dimensional Parabolic Equation with Regard for the Effect of Initial and Boundary Conditions

We obtain improved accuracy estimates of the finite-difference scheme for a two-dimensional parabolic equation in a unit square, considering the effect of the Dirichlet boundary condition and the initial condition. We prove that the accuracy order is higher near the sides and the bottom of the space...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Cybernetics and systems analysis 2017, Vol.53 (1), p.83-91
1. Verfasser: Mayko, N. V.
Format: Artikel
Sprache:eng
Schlagworte:
Accuracy
Approximation
Artificial Intelligence
Boundary conditions
Boundary value problems
Control
Cybernetics
Dirichlet problem
Estimates
Finite difference method
Initial conditions
Mathematical analysis
Mathematics
Mathematics and Statistics
Parallelepipeds
Processor Architectures
Software Engineering/Programming and Operating Systems
Spacetime
Studies
Systems Theory
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We obtain improved accuracy estimates of the finite-difference scheme for a two-dimensional parabolic equation in a unit square, considering the effect of the Dirichlet boundary condition and the initial condition. We prove that the accuracy order is higher near the sides and the bottom of the space-time parallelepiped.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-017-9909-7