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Title: An extended finite difference method for singular perturbation problems on a non-uniform mesh
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Abstract:
An extended second order finite difference method on a variable mesh is proposed for the solution of a singularly perturbed boundary value problem. A discrete equation is achieved on the non uniform mesh by extending the first and second order derivatives to the higher order finite differences. ; This equation is solved efficiently using a tridiagonal solver. The proposed method is analysed for convergence, and second order convergence is derived. Model examples are solved by the proposed scheme and compared with available methods in the literature to uphold the method.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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Source:
IJAME, volume 27, number 1 (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 2, 2023
Number of object content hits:
99
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/77358
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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)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 27, number 1 (2022) - Contents
- Vertical extension of a multi-storey reinforced concrete building
- An effect of binary fluid on the thermal performance of pulsation heat pipe
- Crack growth diagnostic of ball bearing using vibration analysis
- Improvement of the graphical method for plotting the shear and moment diagrams for members subjected to linearly varying loads
- Friction spot lap joining of aluminum alloy AA6061 to pre-holed and threaded carbon steel AISI 1006
- Transient flow through a porous channel with ramped pressure gradient and velocity slip boundary condition
- Difference scheme for differential-difference problems with small shifts arising in computational model of neuronal variability
- Thermosensitive response of a functionally graded cylinder with fractional order derivative
- Unsteady electro-magneto hydrodynamic flow and heat transfer of two ionized fluids in a rotating system with Hall currents
- Key determinants for high-alloyed cast irons for mechanical engineering
- Newtonian heating effect on heat absorbing unsteady MHD radiating and chemically reacting free convection flow past an oscillating vertical porous plate
- Effect of MHD on unsteady oscillatory couette flow through porous media
- An extended finite difference method for singular perturbation problems on a non-uniform mesh
- Effect of biodiesel blended fuel on the performance and emission characteristics of diesel engines - a review
- Experimental regulating parameters of bladder-type hydraulic accumulator
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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)
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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 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 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 extended finite difference method for singular perturbation problems on a non-uniform mesh | Jul 6, 2023 |
