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Title: 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.
Publisher:
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
Object collections:
- Repository > Faculties > Faculty of Mechanical Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME)
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2022)
Last modified:
Jul 6, 2023
In our library since:
Feb 1, 2023
Number of object content hits:
79
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/77332
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International Journal of Applied Mechanics and Engineering (IJAME)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 28 (2023)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 27 (2022)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 27, number 1 (2022)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 27, number 2 (2022)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 27, number 3 (2022)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 27, number 4 (2022)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 27, number 4 (2022) - spis treści
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International Journal of Applied Mechanics and Engineering (IJAME), volume 27, number 1 (2022)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25 (2020)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 24 (2019)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 23 (2018)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 22 (2017)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 19 (2014)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
| Edition name | Date |
|---|---|
| Computational approach to solving a layered behaviour differential equation with large delay using quadrature scheme | Jul 6, 2023 |
