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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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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:
90
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) - Contents
- Analytical solution of a fractional model of fluid flow through narrowing system in terms of mittag-leffler function
- First ply failure analysis of laminated composite beam for different boundary conditions under thermo mechanical loading
- Effects of radiation and eckert number on MHD flow with heat transfer rate near a stagnation point over a non-linear vertical stretching sheet
- Mixed convection in MHD flow and heat transfer rate near a stagnation-point on a non-linear vertical stretching sheet
- The characteristics of selected triaxiality measures of the stresses for a C(T) specimen dominated by the plane strain state
- The complex Ginzburg Landau model for an oscillatory convection in a rotating fluid
- A non-singular analytical technique for reinforced non-circular holes in orthotropic laminate
- An intial-value technique for self-adjoint singularly perturbed two-point boundary value problems
- Heat transfer enhancement from a heated plate with hemispherical convex dimples by forced convection along with a cross flow jet impingement
- The effect of magnetic field dependent viscosity on ferromagnetic convection in a rotating sparsely distributed porous medium - revisited
- A numerical study of dissipative chemically reactive radiative MHD flow past a vertical cone with non-uniform mass flux
- Two dimensional deformation of a multilayered thermoelastic half-space due to surface loads and heat source
- MHD free convection-radiation interaction in a porous medium - Part I: Numerical investigation
- Mixed convection on MHD flow with thermal radiation, chemical reaction and viscous dissipation embedded in a porous medium
- Dynamics of welded rails gap and hardness of rail base
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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 3 (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 |
