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Most Cited

  • Review
  • Open Access
7 Citations
5,064 Views
20 Pages

Review of the Uses of Acoustic Emissions in Monitoring Cavitation Erosion and Crack Propagation

  • Ismael Fernández-Osete,
  • David Bermejo,
  • Xavier Ayneto-Gubert and
  • Xavier Escaler

24 February 2024

Nowadays, hydropower plants are being used to compensate for the variable power produced by the new fluctuating renewable energy sources, such as wind and solar power, and to stabilise the grid. Consequently, hydraulic turbines are forced to work mor...

  • Article
  • Open Access
6 Citations
6,800 Views
17 Pages

Assessment of Humic and Fulvic Acid Sorbing Potential for Heavy Metals in Water

  • Eirini S. Papadaki,
  • Theodoros Chatzimitakos,
  • Vassilis Athanasiadis,
  • Dimitrios Kalompatsios,
  • Eleni Bozinou,
  • Paraskevi Mitlianga and
  • Stavros I. Lalas

7 December 2023

Pollution of water sources with heavy metals is a pressing environmental issue. To this end, various procedures are being used to remediate water, including sorption. The aim of this study was to investigate the effectiveness of humic acids (HAs) and...

  • Article
  • Open Access
5 Citations
2,293 Views
17 Pages

21 February 2023

In this study, we present a convergence analysis of a Newton-like midpoint method for solving nonlinear equations in a Banach space setting. The semilocal convergence is analyzed in two different ways. The first one is shown by replacing the existing...

  • Article
  • Open Access
5 Citations
4,814 Views
21 Pages

18 April 2023

The discussion of what matter and mass are has been going on for more than 2500 years. Much has been discovered about mass in various areas, such as relativity theory and modern quantum mechanics. Still, quantum mechanics has not been unified with gr...

  • Review
  • Open Access
4 Citations
2,860 Views
25 Pages

Navigating the Water–Energy Nexus: A Mathematical Approach

  • Moses Kayanda Kiteto and
  • Cleophas Achisa Mecha

20 December 2024

The rising demand for both water and energy has intensified the urgency of addressing the water–energy nexus. Energy is required for water treatment and distribution, and energy production processes require water. The increasing demand for ener...

  • Article
  • Open Access
4 Citations
3,385 Views
19 Pages

In this paper, we study a coupled system of nonlinear proportional fractional differential equations of the Hilfer-type with a new kind of multi-point and integro-multi-strip boundary conditions. Results on the existence and uniqueness of the solutio...

  • Article
  • Open Access
3 Citations
1,543 Views
13 Pages

Extended Convergence for Two Sixth Order Methods under the Same Weak Conditions

  • Ioannis K. Argyros,
  • Samundra Regmi,
  • Jinny Ann John and
  • Jayakumar Jayaraman

10 March 2023

High-convergence order iterative methods play a major role in scientific, computational and engineering mathematics, as they produce sequences that converge and thereby provide solutions to nonlinear equations. The convergence order is calculated usi...

  • Article
  • Open Access
3 Citations
1,939 Views
14 Pages

Extended Convergence of Two Multi-Step Iterative Methods

  • Samundra Regmi,
  • Ioannis K. Argyros,
  • Jinny Ann John and
  • Jayakumar Jayaraman

13 March 2023

Iterative methods which have high convergence order are crucial in computational mathematics since the iterates produce sequences converging to the root of a non-linear equation. A plethora of applications in chemistry and physics require the solutio...

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Foundations - ISSN 2673-9321