Struktura obiektu

Autor:

Erla, Srinivas ; Kolloju, Phaneendra

Współtwórca:

Jurczak, Paweł - red.

Tytuł:

Computational scheme for a differential - difference equation with a large delay in convection term

Tytuł publikacji grupowej:

IJAME, volume 28 (2023)

Temat i słowa kluczowe:

delay differential equations ; layer behavior ; large delay ; fitting parameter

Abstract:

A computational scheme for the solution of layer behaviour differential equation involving a large delay in the derivative term is devised using numerical integration. If the delay is greater than the perturbation parameter, the layer structure of the solution is no longer preserved, and the solution oscillates. A numerical method is devised with the support of a specific kind of mesh in order to reduce the error and regulate the layered structure of the solution with a fitting parameter. ; The scheme is discussed for convergence. The maximum errors in the solution are tabulated and compared to other methods in the literature to verify the accuracy of the numerical method. Using this specific kind of mesh with and without the fitting parameter, we also studied the layer and oscillatory behavior of the solution with a large delay.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2023

Typ zasobu:

artykuł

Format:

application/pdf

DOI:

10.59441/ijame/168327

Strony:

34-48

Źródło:

IJAME, volume 28, number 2 (2023)

Jezyk:

eng

Licencja:

CC 4.0

Licencja CC BY-NC-ND 4.0:

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Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego