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Optimization Algorithms for Enhanced Parameter Estimation in Mathematical Modelling Hasan, Ahmed; Mzedawee, Asaad Naser Hussein; Alsharify, Fouad Hamza Abd
Indonesian Journal of Mathematics and Applications Vol. 2 No. 1 (2024): Indonesian Journal of Mathematics and Applications (IJMA)
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2024.002.01.3

Abstract

Identifying optimization algorithms for parameter estimation is an important consideration in the dynamic landscape of computational science and mathematical modeling. This paper explores the complex relationship between mathematical models and optimization techniques, providing a comprehensive analysis of synergies a lies between them for they were established in order search. Our study attempted to shed light on its role in theoretical and practical terms: three important factors: perception, meeting behavior, and mathematical efficiency. In doing so, we found valuable insights into the art of algorithm selection, which provided useful insights into improving the accuracy and efficiency of mathematical models. Based on the presented results, the Powell optimization algorithm emerged as an outstanding tool, and model and algorithm continued to demonstrate multiple applicability in various sampling scenarios. By revealing complex interconnections, this study contributes to a growing discourse about mathematical modeling and optimization, and equips scientists, engineers, and decision-makers with the tools needed to meet complex real-world challenges with confidence and accuracy. Finally, the numerical results of the optimization show the superiority of Powell's algorithm in reaching the optimal solution and demonstrated its ability to deal with a wide range of scenarios.
Optimization Algorithms for Enhanced Parameter Estimation in Mathematical Modelling Hasan, Ahmed; Mzedawee, Asaad Naser Hussein; Alsharify, Fouad Hamza Abd
Indonesian Journal of Mathematics and Applications Vol. 2 No. 1 (2024): Indonesian Journal of Mathematics and Applications
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2024.002.01.3

Abstract

Identifying optimization algorithms for parameter estimation is an important consideration in the dynamic landscape of computational science and mathematical modeling. This paper explores the complex relationship between mathematical models and optimization techniques, providing a comprehensive analysis of synergies a lies between them for they were established in order search. Our study attempted to shed light on its role in theoretical and practical terms: three important factors: perception, meeting behavior, and mathematical efficiency. In doing so, we found valuable insights into the art of algorithm selection, which provided useful insights into improving the accuracy and efficiency of mathematical models. Based on the presented results, the Powell optimization algorithm emerged as an outstanding tool, and model and algorithm continued to demonstrate multiple applicability in various sampling scenarios. By revealing complex interconnections, this study contributes to a growing discourse about mathematical modeling and optimization, and equips scientists, engineers, and decision-makers with the tools needed to meet complex real-world challenges with confidence and accuracy. Finally, the numerical results of the optimization show the superiority of Powell's algorithm in reaching the optimal solution and demonstrated its ability to deal with a wide range of scenarios.
Shortening Estimate and Structural Styles Interpretation In the Zagros Belt-Northeast of Iraq Mousa , Ali; Hasan, Ahmed
Physical Sciences, Life Science and Engineering Vol. 2 No. 3 (2025): June
Publisher : Indonesian Journal Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47134/pslse.v2i3.455

Abstract

This study emphasizes how crucial it is to combine kinematic modeling, structural restoration, and seismic interpretation in order to comprehend the tectonic evolution of the Zagros FTB. The results shed light on the migration and storage of hydrocarbons, highlighting the impact of different stress regimes and deep-seated underlying structures on the petroleum systems in the area. We present the first regionally balanced reconstructed cross-section of the Zagros fold belt in northeastern Iraq, along with a two-dimensional kinematic model that shows how the belt has changed over time in the study area. Multiple Lower Triassic detachments are identified, detached above the ductile basement level, and intermediate detachments that may have caused internal complexities such as adaptive bending and/or asymmetric folding, and it suggests that the cross-section may have produced low-angle bends at the transition from brittleness to ductility, associated with the two main structural phases of the detachment level in the high and low fold zones. Different stratigraphic units exhibit differing degrees of shortening, according to balanced cross-section analysis; the Oligocene and Eocene units have the greatest shortening (8.14%). Multi-detachment folds, thrust propagation, and a heterogeneous strain distribution are characteristics of the deformation that are associated with uplift and regional compression in the basement. Hydrocarbon entrapment is significantly influenced by key structural features like the Kalar-Kirkuk Thrust (KKT), whereas exploration possibilities are impacted by differential erosion and subsidence.