Digital Library of Zielona Góra contains 9 272 digital objects
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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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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DOI:
Pages:
Source:
IJAME, volume 25, number 1 (2020)
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License:
License CC BY-NC-ND 4.0:
Rights:
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) (2020)
Last modified:
Jul 6, 2023
In our library since:
Feb 9, 2023
Number of object content hits:
166
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/77729
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| Edition name | Date |
|---|---|
| An intial-value technique for self-adjoint singularly perturbed two-point boundary value problems | Jul 6, 2023 |
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