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Title: An intial-value technique for self-adjoint singularly perturbed two-point boundary value problems
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Abstract:
In this paper, we present an initial value technique for solving self-adjoint singularly perturbed linear boundary value problems. The original problem is reduced to its normal form and the reduced problem is converted to first order initial value problems. This replacement is significant from the computational point of view. ; The classical fourth order Runge-Kutta method is used to solve these initial value problems. This approach to solve singularly perturbed boundary-value problems is numerically very appealing. To demonstrate the applicability of this method, we have applied it on several linear examples with left-end boundary layer and right-end layer. From the numerical results, the method seems accurate and solutions to problems with extremely thin boundary layers are obtained.
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Zielona Góra: Uniwersytet Zielonogórski
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IJAME, volume 25, number 1 (2020)
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License CC BY-NC-ND 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- 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) (2020)
Last modified:
Jul 6, 2023
In our library since:
Feb 9, 2023
Number of object content hits:
52
All available object's versions:
https://zbc.uz.zgora.pl/publication/77729
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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 26 (2021)
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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 25, number 1 (2020)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 1 (2020) - spis treści
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 2 (2020)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 4 (2020)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 1 (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 |
|---|---|
| An intial-value technique for self-adjoint singularly perturbed two-point boundary value problems | Jul 6, 2023 |
