Issa Omle

Dr. Issa Omle

University of Miskolc, Miskolc, Borsod-Abaúj-Zemplén, Hungary
orcid
Assistant professor at University of Miskolc

Research Focus & Metrics

Academic Career Length

6Years (2021-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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19 September 2024 in International Journal of Thermofluids
Verified
Journal Article
Open access
SKSaif Ali Kadhim
Saif Ali Kadhim
KHKarrar A. Hammoodi
Karrar A. Hammoodi
MAMohammed J. Alshukri
Mohammed J. Alshukri
Issa OmleIssa Omle
Issa Omle
KHKarrar K. Abdul Hussein
Karrar K. Abdul Hussein
AEAmmar Elsheikh
Ammar Elsheikh

30 September 2023 in Results in Engineering
Verified
Journal Article
Open access
Issa OmleIssa Omle
Issa Omle
EKEndre Kovács
Endre Kovács
BBBetti Bolló
Betti Bolló

20 August 2021 in Computation
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Journal Article
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PDF file
ÁNÁdám Nagy
Ádám Nagy
Issa OmleIssa Omle
Issa Omle
HJHumam Kareem Jalghaf
Humam Kareem Jalghaf
EKEndre Kovács
Endre Kovács
Imre Ferenc BarnaImre Ferenc Barna
Imre Ferenc Barna
Gabriella BognárGabriella Bognár
Gabriella Bognár
In this paper, we construct novel numerical algorithms to solve the heat or diffusion equation. We start with 105 different leapfrog-hopscotch algorithm combinations and narrow this selection down to five during subsequent tests. We demonstrate the performance of these top five methods in the case of large systems with random parameters and discontinuous initial conditions, by comparing them with other methods. We verify the methods by reproducing an analytical solution using a non-equidistant mesh. Then, we construct a new nontrivial analytical solution containing the Kummer functions for the heat equation with time-dependent coefficients, and also reproduce this solution. The new methods are then applied to the nonlinear Fisher equation. Finally, we analytically prove that the order of accuracy of the methods is two, and present evidence that they are unconditionally stable.

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ÁNÁdám Nagy
Ádám Nagy
MSMahmoud Saleh
Mahmoud Saleh
Issa OmleIssa Omle
Issa Omle
HJHumam Kareem Jalghaf
Humam Kareem Jalghaf
EKEndre Kovács
Endre Kovács
Our goal was to find more effective numerical algorithms to solve the heat or diffusion equation. We created new five-stage algorithms by shifting the time of the odd cells in the well-known odd-even hopscotch algorithm by a half time step and applied different formulas in different stages. First, we tested 105 = 100,000 different algorithm combinations in case of small systems with random parameters, and then examined the competitiveness of the best algorithms by testing them in case of large systems against popular solvers. These tests helped us find the top five combinations, and showed that these new methods are, indeed, effective since quite accurate and reliable results were obtained in a very short time. After this, we verified these five methods by reproducing a recently found non-conventional analytical solution of the heat equation, then we demonstrated that the methods worked for nonlinear problems by solving Fisher’s equation. We analytically proved that the methods had second-order accuracy, and also showed that one of the five methods was positivity preserving and the others also had good stability properties.

18 February 2025 in Results in Engineering
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Journal Article
Open access
SKSaif Ali Kadhim
Saif Ali Kadhim
KHKarrar A. Hammoodi
Karrar A. Hammoodi
HAHayder Mohsin Ali
Hayder Mohsin Ali
FRFarhan Lafta Rashid
Farhan Lafta Rashid
Hussein TogunHussein Togun
Hussein Togun
Issa OmleIssa Omle
Issa Omle

8 June 2023 in Energies
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Journal Article
Open access
PDF file
Issa OmleIssa Omle
Issa Omle
Ali Habeeb AskarAli Habeeb Askar
Ali Habeeb Askar
EKEndre Kovács
Endre Kovács
BBBetti Bollo
Betti Bollo
Several previous experiments showed that the leapfrog–hopscotch and the adapted Dufort–Frankel methods are the most efficient among the explicit and stable numerical methods to solve heat transfer problems in building walls. In this paper, we extensively measure the running times of the most successful methods and compare them to the performance of other available solvers, for example, ANSYS transient thermal analysis and the built-in routines of MATLAB, where three different mesh resolutions are used. We show that the running time of our methods changes linearly with mesh size, unlike in the case of other methods. After that, we make a long-term simulation (one full winter month) of two-dimensional space systems to test the two best versions of the methods. The real-life engineering problem we solve is the examination of thermal bridges with different shapes in buildings to increase energy efficiency.