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Tytuł: Computational approach to solving a layered behaviour differential equation with large delay using quadrature scheme
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Abstract:
This paper deals with the computational approach to solving the singularly perturbed differential equation with a large delay in the differentiated term using the two-point Gaussian quadrature. If the delay is bigger than the perturbed parameter, the layer behaviour of the solution is destroyed, and the solution becomes oscillatory. ; With the help of a special type mesh, a numerical scheme consisting of a fitting parameter is developed to minimize the error and to control the layer structure in the solution. The scheme is studied for convergence. Compared with other methods in the literature, the maximum defects in the approach are tabularized to validate the competency of the numerical approach. ; In the suggested technique, we additionally focused on the effect of a large delay on the layer structure or oscillatory behaviour of the solutions using a special form of mesh with and without a fitting parameter. The effect of the fitting parameter is demonstrated in graphs to show its impact on the layer of the solution.
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Zielona Góra: Uniwersytet Zielonogórski
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Source:
IJAME, volume 27, number 4 (2022)
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License CC BY-NC-ND 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Mechanical Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME)
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2022)
Data ostatniej modyfikacji:
6 lip 2023
Data dodania obiektu:
1 lut 2023
Liczba wyświetleń treści obiektu:
202
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/publication/77332
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| Nazwa wydania | Data |
|---|---|
| Computational approach to solving a layered behaviour differential equation with large delay using quadrature scheme | 6 lip 2023 |
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