Inverted solar stills: A comprehensive review of designs, mathematical models, performance, and modern combinations
Fresh water is scarce, making it a worldwide issue. In order to address global freshwater
demand, a filtration technique is needed. Solar distillation (SD) that purifies brackish and …
demand, a filtration technique is needed. Solar distillation (SD) that purifies brackish and …
Natural convection within inversed T-shaped enclosure filled by nano-enhanced phase change material: Numerical investigation
Energy saving has always been a topic of great interest. The usage of nano-enhanced
phase change material NePCM is one of the energy-saving methods that has gained …
phase change material NePCM is one of the energy-saving methods that has gained …
2D MHD mixed convection in a zigzag trapezoidal thermal energy storage system using NEPCM
In a magnetic field, two-dimensional (2D) mixed convection is investigated within a
zigzagged trapezoidal chamber. The lower side of the trapezoidal chamber is irregular, in …
zigzagged trapezoidal chamber. The lower side of the trapezoidal chamber is irregular, in …
Enhancing the melting process of shell-and-tube PCM thermal energy storage unit using modified tube design
Recently, phase change materials (PCMs) have gained great attention from engineers and
researchers due to their exceptional properties for thermal energy storing, which would …
researchers due to their exceptional properties for thermal energy storing, which would …
Atomic solution for certain Gardner equation
M Al-Khaleel, S Al-Sharif, A AlJarrah - Symmetry, 2023 - mdpi.com
In this paper, a new technique using a tensor product is presented in order to provide exact
solutions to some certain fractional differential equations. Particularly, the well-known third …
solutions to some certain fractional differential equations. Particularly, the well-known third …
[HTML][HTML] Analytical solutions for autonomous differential equations with weighted derivatives
R AlAhmad, M Al-Khaleel - Partial Differential Equations in Applied …, 2024 - Elsevier
In this work, we introduce a new definition of weighted derivatives along with corresponding
integral operators, which aim to facilitate the solution of both linear and non-linear …
integral operators, which aim to facilitate the solution of both linear and non-linear …
Fully discrete Schwarz waveform relaxation analysis for the heat equation on a finite spatial domain
RD Haynes, K Mohammad - ESAIM: Mathematical Modelling and …, 2023 - esaim-m2an.org
Schwarz waveform relaxation methods provide space-time parallelism for the solution of
time dependent partial differential equations. The algorithms are differentiated by the choice …
time dependent partial differential equations. The algorithms are differentiated by the choice …
Parameter Optimization in Waveform Relaxation for Fractional-Order Circuits
SL Wu, M Al-Khaleel - … Transactions on Circuits and Systems I …, 2017 - ieeexplore.ieee.org
The longitudinal waveform relaxation (WR) proposed by Gander and Ruehli converges
faster than the classical WR method. For the former, a free parameter α is contained, which …
faster than the classical WR method. For the former, a free parameter α is contained, which …
A mathematical analysis of discrete waveform relaxation algorithms for transmission line type circuits
M Al-Khaleel, SL Wu - 2021 IEEE Asia-Pacific Conference on …, 2021 - ieeexplore.ieee.org
Convergence rate is greatly improved by using the new waveform relaxation (WR) methods,
known as optimized waveform relaxation (OWR) algorithms, over the classical ones due to …
known as optimized waveform relaxation (OWR) algorithms, over the classical ones due to …
On solutions of linear and nonlinear fractional differential equations with application to fractional order RC type circuits
In this paper, we solve a class of fractional differential equations of order α∈(0, 1) in Caputo–
Fabrizio sense. Importantly, we highlight relations between the Caputo–Fabrizio and …
Fabrizio sense. Importantly, we highlight relations between the Caputo–Fabrizio and …