Three layer difference method for linear pseudo-parabolic equation with delay
Autor: | Gabil M. Amiraliyev, Ilhame Amirali |
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Přispěvatelé: | [Belirlenecek] |
Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
Error estimate
2-Phase Flow Applied Mathematics Value (computer science) Space (mathematics) Computational Mathematics Three layer difference scheme Scheme (mathematics) Delay pseudo-parabolic equation Applied mathematics Order (group theory) Numerical Schemes Layer (object-oriented design) Energy (signal processing) Mathematics Second derivative |
Popis: | This paper deals with the study a finite-difference approximation of the one dimensional initial-boundary value problem for a pseudo-parabolic equation containing time delay in second derivative. We propose three layer difference scheme and obtain the error estimates for its solution. Based on the method of energy estimates the fully discrete scheme is shown to be convergent of order four in space and order two in time. Numerical results are presented to illustrate the theoretical findings. (C) 2021 Elsevier B.V. All rights reserved. WOS:000697029800006 2-s2.0-85114402983 |
Databáze: | OpenAIRE |
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