Digital Library of Zielona Góra contains 9 272 digital objects
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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DOI:
Pages:
Source:
IJAME, volume 27, number 1 (2022)
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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) (2022)
Last modified:
Jul 6, 2023
In our library since:
Feb 2, 2023
Number of object content hits:
184
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/77352
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