- Graph theory and applications
- Mathematical and Theoretical Epidemiology and Ecology Models
- Computational Drug Discovery Methods
- Evolution and Genetic Dynamics
- Advanced Battery Technologies Research
- Microgrid Control and Optimization
- Smart Grid Energy Management
- Phase-change materials and chalcogenides
- Statistical Distribution Estimation and Applications
- Ferroelectric and Piezoelectric Materials
- Computational Fluid Dynamics and Aerodynamics
- Multiferroics and related materials
- Cholinesterase and Neurodegenerative Diseases
- Fractional Differential Equations Solutions
- Advanced Thermodynamics and Statistical Mechanics
- Nonlinear Optical Materials Studies
- Photovoltaic System Optimization Techniques
- Advanced Statistical Methods and Models
- Nuclear Engineering Thermal-Hydraulics
- Animal Ecology and Behavior Studies
- Lubricants and Their Additives
- Free Radicals and Antioxidants
- Mathematical Biology Tumor Growth
- Fuzzy Systems and Optimization
- Fluid Dynamics and Turbulent Flows
Umm al-Qura University
2014-2024
Entropy is a thermodynamic function in physics that measures the randomness and disorder of molecules particular system or process based on diversity configurations might take. Distance-based entropy used to address wide range problems domains mathematics, biology, chemical graph theory, organic inorganic chemistry, other disciplines. We explain basic applications distance-based phenomena. These include signal processing, structural studies crystals, molecular ensembles, quantifying...
This article explores the application of reduced differential transform method (RDTM) for computational solutions two fractional-order cancer tumor models in Caputo sense: model based on chemotherapeutic effects which explain relation between drugs, cells, normal and immune cells using a fractional partial equations, that describes different cases killing rate K (the percentage (I) is dependent number (II) function time only, (III) space only). The are presented Mathematica software as...
Entropy is a measure of system's molecular disorder or unpredictability since work produced by organized motion. Shannon's entropy metric applied to represent random graph's variability. thermodynamic function in physics that, based on the variety possible configurations for molecules take, describes randomness and given system process. Numerous issues fields mathematics, biology, chemical graph theory, organic inorganic chemistry, other disciplines are resolved using distance-based entropy....
A topological index as a graph parameter was obtained mathematically from the graph’s structure. These indices are useful for measuring various chemical characteristics of compounds in theory. The number atoms that surround an atom molecular structure compound determines its valency. significant valency-based invariants have been proposed, which connect physicochemical aspects compounds, such vapour pressure, stability, elastic energy, and numerous others. Molecules linked with numerical...
<abstract><p>A nonautonomous logistic population model with a feature of an Allee threshold has been investigated in periodically fluctuating environment. A slow periodicity the harvesting effort was considered and may arise response to relatively fluctuations This assumption permits obtaining analytical approximate solutions such using perturbation approach based on variation. Thus, expressions evolution situation subcritical supercritical were obtained discussed framework...
Low Voltage Direct Current (LVDC) Photovoltaic (PV) systems are considered suitable solutions for increasing the capacity of existing LV networks. They provide a good power quality, renewable energy source compatibility, and simple integration with batteries. This paper compares proposed LVDC supply concept traditional PV regarding efficiency. The System was realized. results obtained from this study revealed that using system concept, instead Alternative (LVAC) ones, is very interesting if...
Most of estimation methods reported in the literature are based on simple random sampling (SRS), which to certain extent is considerably less effective estimating parameters as compared a new technique, ranked set (RSS) and its modifications. In this Paper we address problem Bayesian for Weibull distribution, sampling. Two loss functions have been studied: (i) squared-error function symmetric function, (ii) linex asymmetric function. Different estimates using simulations illustrative...
Cd-doped BiFeO3 powders, with varying doping concentrations of Cd (Bi(1−x)CdxFeO3, where x = 0–0.3), were prepared through a facile chemical co-precipitation method and calcinated at 550 °C in the air. The has rhombohedral crystal structure, which changes to an orthorhombic structure increase doping. presence dopant also altered bandgap material suppressing it from 2.95 eV 2.51 eV, improving visible light absorption. Vibrating sample magnetometry (VSM) confirmed stronger ferromagnetic...
The Low Voltage Direct Current (LVDC) architecture gives higher benefits over the classic low-voltage alternating current (LVAC) supply concept. LVDC has fewer energy conversion stages, is compatible with renewable sources, and easier to integrate accumulators. In this paper, an concept proposed compared currently used conventional photovoltaic (PV) systems in terms of efficiency. new system behavior validated using LTspice modeling tool. findings work prove that highly attractive when...
The harvested logistic model with a slow variation in coefficients has been considered. Two cases, which depend on the harvest rate, were identified. first one is when subcritical, where population evolves to an equilibrium. other supercritical harvesting, decreases zero at finite times. single analytic approximate expression, capable of describing both harvesting readily and explicitly obtained using multi-time scaling method together perturbation approach. This solution fits for wide range...
The unsteady compressible steam laminar flow associated with heat transfer in fluids a squared cylinder is examined this work. current challenge was created utilizing the CFD approach. chosen low Mach number. With geometric wall, has no-slip condition. pressure on kept at 0 pas, and temperature regime 305.13. A 0.5 m/s velocity used to start flow. use of graphics, effects time distributions are discussed. Different outcomes also mentioned, such as drag coefficients, lift distributions. drops...