Object
Title: Difference scheme for differential-difference problems with small shifts arising in computational model of neuronal variability
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Abstract:
The solution of differential-difference equations with small shifts having layer behaviour is the subject of this study. A difference scheme is proposed to solve this equation using a non-uniform grid. With the non-uniform grid, finite-difference estimates are derived for the first and second-order derivatives. Using these approximations, the given equation is discretized. ; The discretized equation is solved using the tridiagonal system algorithm. Convergence of the scheme is examined. Various numerical simulations are presented to demonstrate the validity of the scheme. In contrast to other techniques, maximum errors in the solution are organized to support the method. The layer behaviour in the solutions of the examples is depicted in graphs.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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Pages:
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:
41
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/77352
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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) - spis treści
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- 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
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- Unsteady electro-magneto hydrodynamic flow and heat transfer of two ionized fluids in a rotating system with Hall currents
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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)
