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32 Results Found

  • Article
  • Open Access
14 Citations
4,560 Views
19 Pages

Parallel Direct and Iterative Methods for Solving the Time-Fractional Diffusion Equation on Multicore Processors

  • Murat A. Sultanov,
  • Elena N. Akimova,
  • Vladimir E. Misilov and
  • Yerkebulan Nurlanuly

20 January 2022

The work is devoted to developing the parallel algorithms for solving the initial boundary problem for the time-fractional diffusion equation. After applying the finite-difference scheme to approximate the basis equation, the problem is reduced to so...

(This article belongs to the Special Issue Numerical Analysis and Scientific Computing II)
  • Article
  • Open Access
2 Citations
1,989 Views
25 Pages

22 May 2024

This paper presents a nonstandard numerical manifold method (NMM) for solving Burgers’ equation. Employing the characteristic Galerkin method, we initially apply the Crank–Nicolson method for temporal discretization along the characterist...

(This article belongs to the Section Mathematical Physics)
  • Article
  • Open Access

8 November 2026

The study aims to use Chitosan/nSiO2 Nanocomposite (CSNC) as an adsorbent to eliminate toxic Cu(II) ions from its aqueous solution using a fixed-bed continuous column system. nSiO2 was synthesized from rice husk ash. The adsorption investigations wer...

(This article belongs to the Special Issue Natural Polymer Materials: Cellulose, Lignin and Chitosan)
  • Article
  • Open Access
2,968 Views
11 Pages

Numerical Investigation on the Thomas–Fermi Model and Its Quantum and Exchange Corrections

  • Yangyang Ma,
  • Wenle Song,
  • Junlei Zhao,
  • Lei Wang and ,
  • Shenghui Mu and
  • Kun Wang
  • + 1 author+ 0 author

7 August 2025

The Thomas–Fermi model and its quantum and exchange corrections with mathematic manipulations and numerical approaches are primarily investigated. The reduced ideal electron chemical potential is adopted as the initial value for the iterative s...

(This article belongs to the Special Issue New Insights into Plasma Theory, Modeling and Predictive Simulations)
  • Article
  • Open Access
326 Views
23 Pages

A Systematic Method for Generating Discrete Multidimensional Thomae-like Functions

  • Andrei Pătrăușanu,
  • Adrian Florea,
  • Mihai Neghină,
  • Radu Chiș and
  • Alina Dicoiu

Generating multidimensional rugged landscapes is very important for testing and benchmarking, considering the increasing number of multi-objective optimization problems and the pervasive use of computational systems. The diverse nature of such proble...

(This article belongs to the Special Issue Advanced Research in Technology and Information Systems: Third Edition)
  • Feature Paper
  • Article
  • Open Access
2,214 Views
25 Pages

Numerical Algorithms for Divergence-Free Velocity Applications

  • Giacomo Barbi,
  • Antonio Cervone and
  • Sandro Manservisi

14 August 2024

This work focuses on the well-known issue of mass conservation in the context of the finite element technique for computational fluid dynamic simulations. Specifically, non-conventional finite element families for solving Navier–Stokes equation...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
51 Citations
7,055 Views
23 Pages

Chaotic Attractors with Fractional Conformable Derivatives in the Liouville–Caputo Sense and Its Dynamical Behaviors

  • Jesús Emmanuel Solís Pérez,
  • José Francisco Gómez-Aguilar,
  • Dumitru Baleanu and
  • Fairouz Tchier

20 May 2018

This paper deals with a numerical simulation of fractional conformable attractors of type Rabinovich–Fabrikant, Thomas’ cyclically symmetric attractor and Newton–Leipnik. Fractional conformable and β -conformable derivative...

(This article belongs to the Special Issue Wavelets, Fractals and Information Theory III)
  • Article
  • Open Access
853 Views
25 Pages

Optimization and Tradespace Analysis of a Classic Machine—A Street Clock Movement Study

  • Pranav Manvi,
  • Yifan Xu,
  • David Moline,
  • Cameron Turner and
  • John Wagner

24 January 2026

Computer-based engineering design tools can quicken the cadence for machine design, which enables companies to compete better in the global marketplace. The application of nonlinear optimization and tradespace analysis methods allows the exploration...

(This article belongs to the Section Machine Design and Theory)
  • Article
  • Open Access
3 Citations
2,485 Views
16 Pages

13 September 2022

Although resistance spot welding (RSW) was invented at the beginning of the last century, the online-monitoring and control of RSW is still a technological challenge and of economic and ecological importance. Process, material and geometry parameters...

(This article belongs to the Special Issue Advances in the Experimentation and Numerical Modeling of Material Joining Processes)
  • Article
  • Open Access
6 Citations
3,038 Views
11 Pages

23 October 2021

The approximate solution of the nonlinear Thomas–Fermi (TF) equation for ions is found by the Fermi method. The solution is based on the new asymptotic representation of the TF ion size valid for any ionization degree. The two universal functions and...

(This article belongs to the Section Quantum Chemistry, Computational Chemistry and Molecular Physics)
  • Article
  • Open Access
88 Citations
6,834 Views
25 Pages

26 October 2021

The accurate estimation of nearshore bathymetry is necessary for multiple aspects of coastal research and practices. The traditional shipborne single-beam/multi-beam echo sounders and Airborne Lidar bathymetry (ALB) have a high cost, are inefficient,...

(This article belongs to the Section Ocean Remote Sensing)
  • Article
  • Open Access
26 Citations
5,502 Views
18 Pages

14 November 2018

In Global Navigation Satellite System (GNSS) relative positioning applications, multipath errors are non-negligible. Mitigation of the multipath error is an important task for precise positioning and it is possible due to the repeatability, even with...

(This article belongs to the Special Issue Concurrent Positioning, Mapping and Perception of Multi-source Data Fusion for Smart Applications)
  • Article
  • Open Access
1,020 Views
16 Pages

26 March 2025

An efficient and precise numerical simulation method of geothermal field is of great significance for the exploitation, evaluation, and sustainable development of geothermal resources. In the face of complex geological conditions, the conventional nu...

(This article belongs to the Section Applied Physics General)
  • Article
  • Open Access
2,486 Views
13 Pages

2 January 2025

In different measurement tasks, the duration allocated for radon progeny concentration measurement varies, and the requirements for measurement precision also differ. To accommodate the needs of various radon progeny concentration measurement tasks,...

(This article belongs to the Section Metals and Radioactive Substances)
  • Article
  • Open Access
3 Citations
5,858 Views
14 Pages

22 December 2017

Investigation of the interaction of electromagnetic radiation with molecular systems provides most of the information on their structure and properties. Interpretation of experimental data is directly determined by the knowledge of the structure of e...

  • Article
  • Open Access
23 Citations
2,386 Views
13 Pages

23 September 2022

The primary objective of the study is to explore the phenomena of dusty fluid flow through an inclined irregular channel under the impact of the transversely applied magnetic field of fixed strength. The density and viscosity of the working fluid are...

(This article belongs to the Special Issue New Research on Heat Transfer with Properties of Nanofluids)
  • Article
  • Open Access
30 Citations
2,450 Views
17 Pages

11 November 2020

The main aim of the current study is to analyze the physical phenomenon of free convection nanofluids heat transfer along a sphere and fluid eruption through boundary layer into a plume region above the surface of the sphere. In the current study, th...

(This article belongs to the Special Issue Computational Fluid Dynamics 2020)
  • Article
  • Open Access
5 Citations
2,297 Views
18 Pages

Coupled Effect of Chloride Corrosion and Repeated Uniaxial Compressive Loading on Unsaturated Concrete

  • Bing Han,
  • Ziwei Song,
  • Jinquan Zhang,
  • Huibing Xie and ,
  • Wutong Yan,
  • Yun Liu and
  • Jiaping Yu
  • + 2 authors+ 0 author

7 April 2023

Concrete structure performance continuously deteriorates during operation, and the performance is simultaneously affected by chloride corrosion and repeated traffic loading. Repeated-loading-induced cracks have an impact on the rate of chloride corro...

  • Article
  • Open Access
1 Citations
1,407 Views
20 Pages

9 February 2025

Balancing efficiency and accuracy is often challenging in the numerical solution of three-dimensional (3D) point source acoustic wave equations for layered media. To overcome this, an efficient solution method in the spatial-wavenumber domain is prop...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
1 Citations
4,460 Views
26 Pages

14 February 2020

This article proposes investigating how the problem of chronic and deadly diseases and bodily injuries is explored in selected contemporary artistic projects based on biometric technologies and medical imaging. All of the projects that will be analys...

(This article belongs to the Special Issue Photo-Textual Disorders: Writing, Photography and Illness)
  • Proceeding Paper
  • Open Access
1 Citations
1,297 Views
8 Pages

18 November 2025

This research utilizes a modified cellulose nanocrystal composite as an adsorbent to remove cadmium (II) through a column study. A fixed-bed column was used to remove cadmium (II) at room temperature using varying process factors, such as pH (4&ndash...

(This article belongs to the Proceedings of The 4th International Electronic Conference on Processes)
  • Article
  • Open Access
25 Citations
3,802 Views
18 Pages

Denoising and Accuracy Evaluation of ICESat-2/ATLAS Photon Data for Nearshore Waters Based on Improved Local Distance Statistics

  • Junfeng Xie,
  • Jincheng Zhong,
  • Fan Mo,
  • Ren Liu and ,
  • Xiang Li,
  • Xiaomeng Yang and
  • Junze Zeng
  • + 2 authors+ 0 author

29 May 2023

The second-generation spaceborne LiDAR-Ice, Cloud and Land Elevation Satellite-2 (ICESat-2) carries the Advanced Topographic Laser Altimeter System (ATLAS), which can penetrate a certain depth of water, and is one of the important means to obtain the...

(This article belongs to the Special Issue Monitoring Terrestrial Water Resource Using Multiple Satellite Sensors)
  • Article
  • Open Access
12 Citations
6,861 Views
15 Pages

Parameter Estimation of Breakthrough Curve Models in the Adsorption Process of H2S and CO2 Using the Markov Chain Monte Carlo Method

  • Haianny Beatriz Saraiva Lima,
  • Ana Paula Souza de Sousa,
  • Wellington Betencurte da Silva,
  • Deibson Silva da Costa and ,
  • Emerson Cardoso Rodrigues and
  • Diego Cardoso Estumano
  • + 1 author+ 0 author

8 August 2024

The increase in emissions of toxic gasses such as hydrogen sulfide (H2S) and carbon dioxide (CO2), resulting from growing urbanization and industrialization, has caused environmental and public health problems, making the implementation of air purifi...

  • Article
  • Open Access
4 Citations
9,103 Views
24 Pages

3 June 2021

Numerical simulations of laminar boundary-layer equations are used to investigate the origins of skin-friction drag, flow separation, and aerodynamic heating concepts in advanced undergraduate- and graduate-level fluid dynamics/aerodynamics courses....

(This article belongs to the Special Issue Teaching and Learning of Fluid Mechanics, Volume II)
  • Article
  • Open Access
1 Citations
1,739 Views
33 Pages

2 August 2023

The trade-off between numerical accuracy and computational cost is always an important factor to consider when pricing options numerically, due to the inherent irregularity and existence of non-linearity in many models. In this work, we first present...

(This article belongs to the Special Issue Differential Equations and Related Topics)
  • Article
  • Open Access
7 Citations
3,247 Views
17 Pages

Green Synthesis of nZVI-Modified Sludge Biochar for Cr(VI) Removal in Water: Fixed-Bed Experiments and Artificial Neural Network Model Prediction

  • Hao Zhao,
  • Fengfeng Ma,
  • Xuechang Ren,
  • Baowei Zhao and ,
  • Yufeng Jiang and
  • Jian Zhang
  • + 1 author+ 0 author

25 January 2025

The contamination of aquatic environments with hexavalent chromium (Cr(VI)) poses significant environmental and public health risks, necessitating the development of high-performance adsorbents for its efficient removal. This study evaluates the pote...

(This article belongs to the Section Wastewater Treatment and Reuse)
  • Review
  • Open Access
17 Citations
5,197 Views
14 Pages

7 September 2021

The current polythetic and operational criteria for major depression inevitably contribute to the heterogeneity of depressive syndromes. The heterogeneity of depressive syndrome has been criticized using the concept of language game in Wittgensteinia...

(This article belongs to the Special Issue Machine Learning and Big Data in Psychiatric and Sleep Disorders)
  • Article
  • Open Access
1 Citations
556 Views
28 Pages

Hydrodynamic and Thermal Characterization of Steady MHD Flow in Channels and Pipes Considering Viscous Dissipation and Joule Heating

  • Zaid Salah Al-Haydri,
  • Konstantin V. Osintsev,
  • Sergei V. Aliukov,
  • Pavel A. Drogovoz and ,
  • Evgeny V. Solomin,
  • Nikita A. Pshenisnov and
  • Elena N. Fedorenko
  • + 2 authors+ 0 author

9 June 2026

This study presents a comparative sensitivity analysis of the Hartmann number (Ha) and Brinkman number (Br) on magnetohydrodynamic (MHD) flow in rectangular channels and circular pipes. Normalized sensitivity coefficients quantify the response of key...

(This article belongs to the Section J: Thermal Management)
  • Article
  • Open Access
4 Citations
1,181 Views
19 Pages

28 June 2025

Abrasive waterjet technology is a promising sustainable and green technology for cutting underground structures. Abrasive waterjet usage in demolition promotes sustainable and green construction practices by reduction of noise, dust, secondary waste,...

(This article belongs to the Section Building Structures)
  • Article
  • Open Access
5 Citations
4,219 Views
34 Pages

Fault Diagnosis in Analog Circuits Using Swarm Intelligence

  • Nadia Nedjah,
  • Jalber Dinelli Luna Galindo,
  • Luiza de Macedo Mourelle and
  • Fernanda Duarte Vilela Reis de Oliveira

Open or short-circuit faults, as well as discrete parameter faults, are the most commonly used models in the simulation prior to testing methodology. However, since analog circuits exhibit continuous responses to input signals, faults in specific cir...

(This article belongs to the Special Issue Bio-Inspired Optimization Algorithms and Designs for Engineering Applications)
  • Article
  • Open Access
550 Views
36 Pages

A Coupled Mathematical Model of Groundwater Dynamics and Salt Transport in a Two-Layer Porous Medium

  • Ergashevich Halimjon Khujamatov,
  • Sherzod Daliev,
  • Sherzod Urakov,
  • Sirojiddin Elmonov and ,
  • Abdinabi Mukhamadiyev and
  • Razvan Craciunescu
  • + 1 author+ 0 author

8 May 2026

Understanding the coupled dynamics of groundwater flow and salinity transport is essential for the sustainable management of aquifer systems, particularly in irrigated and semi-arid regions where evaporation, recharge variability, and groundwater abs...

(This article belongs to the Special Issue Applied Mathematical Modelling and Dynamical Systems, 3rd Edition)
  • Article
  • Open Access
449 Citations
23,177 Views
19 Pages

Validation of ICESat-2 ATLAS Bathymetry and Analysis of ATLAS’s Bathymetric Mapping Performance

  • Christopher E. Parrish,
  • Lori A. Magruder,
  • Amy L. Neuenschwander,
  • Nicholas Forfinski-Sarkozi and ,
  • Michael Alonzo and
  • Michael Jasinski
  • + 1 author+ 0 author

10 July 2019

NASA’s Ice, Cloud, and Land Elevation Satellite-2 (ICESat-2) was launched in September, 2018. The satellite carries a single instrument, ATLAS (Advanced Topographic Laser Altimeter System), a green wavelength, photon-counting lidar, enabling global m...