DOAJ Open Access 2020

On the stable difference scheme for the time delay telegraph equation

A. Ashyralyev K. Turk D. Agirseven

Abstrak

The stable difference scheme for the approximate solution of the initial boundary value problem for the telegraph equation with time delay in a Hilbert space is presented. The main theorem on stability of the difference scheme is established. In applications, stability estimates for the solution of difference schemes for the two type of the time delay telegraph equations are obtained. As a test problem, one-dimensional delay telegraph equation with nonlocal boundary conditions is considered. Numerical results are provided.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

A. Ashyralyev

K. Turk

D. Agirseven

Format Sitasi

APA MLA BibTeX

Ashyralyev, A., Turk, K., Agirseven, D. (2020). On the stable difference scheme for the time delay telegraph equation. https://doi.org/10.31489/2020m3/105-119

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Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.31489/2020m3/105-119
Akses: Open Access ✓