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116 articles for “differential equation”
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Numerical Model for Water Hammer in Homogeneous Equilibrium Two Phase Fluid
Abstract: Generally, water hammer can occur in any thermal-hydraulic systems. Rapid closing or opening of a valve causes pressure transients due to the sudden transformation of kinetic energy into the potential energy. The resulting high pressure surge upstream of the valve leads to the temporary increase in pressure. If the increased pressure surpasses the safety margin for the pipe, it can lead to failure of the pipeline. A mathematical model is …
Published in Journal of Nuclear Engineering & Technology · Vol. 4, Issue 3, 2014 · pp. 29–43 Read article
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Dynamics of Prey Predator Model with Harvesting of Prey
Abstract: In this paper we studied the dynamics of prey-predator model with Holling type-II response. The predator is generalist type and can sustain in absence of prey. In addition to that a constant harvesting effort is induced in the prey species. The model is characterized by a couple of differential equations. The well posed ness of the model is established. The system is bounded, exhibits positive solutions and persistence. The possible …
Published in Research & Reviews : Journal of Ecology · Vol. 12, Issue 3, 2023 · pp. 24–33 Read article
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Shock Response Spectrum and Its Damage Potential: An Application to Launch Vehicle Structures
Abstract: The present work briefly summarizes the analysis of pyrotechnic shocks encountered in launch vehicle structures using the shock response spectrum (SRS) and the pseudo velocity shock response spectrum techniques. The mathematical idealization assumes a single degree of freedom (SDOF) system model with base excitation. The mounting elements of SDOF system are assumed to be flexible and each mounting element can be described by its stiffness and damping parameters. The convolution …
Published in Research & Reviews : Journal of Space Science & Technology · Vol. 1, Issue 1-3, 2012 · pp. 67–80 Read article
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On the Time Fractional Natural Convection Flow of Incompressible Viscous Fluid Past Vertical Plate
Abstract: Time fractional partial differential equations governing the free convective flow of an incompressible viscous fluid over vertical plate with Newtonian heating and mass diffusion in the presence of first order chemical reaction are derived by using fractional complex transforms. The dimensionless temperature, concentration and velocity field and the rate of heat and mass transfer from the plate to the field are determined using Laplace transform. The similarly solution for ordinary …
Published in Research & Reviews : Journal of Physics · Vol. 8, Issue 2, 2019 · pp. 69–74 Read article
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Transport Phenomena of Hepatitis B with Special Reference to Jacobian Matrix in the Null Space
Abstract: A mathematical model representing the transmission dynamics of Hepatitis B virus was presented with system of non-linear differential equations which explain the interaction of Acute, Chronic, Recovered, Treatment, Vaccinated classes of the infection with another epidemiological parameter. The aim of this work is to carry out detailed sensitivity analysis of the model parameters. The disease-free equilibrium points and basic reproduction number of the cases were analyzed. Sensitivity analysis of R0 …
Published in Research & Reviews : Journal of Physics · Vol. 11, Issue 1, 2022 · pp. 16–22 Read article
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Mathematical Analysis of prey-predator model
Abstract: In this paper we considered a model with a prey and predator involve holling type -II functional response. The predator species is not only dependent on prey species but also have alternative food source. The mathematical model is characterized by the couple of differential equations. The model is well posed and possess positive solutions. The system is bounded and shows the property of permeance. The possible equilibrium points are identified. …
Published in Research & Reviews : Journal of Statistics · Vol. 12, Issue 3, 2023 · pp. 1–10 Read article
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Modeling and Simulation of a Chaotic Oscillator Using Mathematica
Abstract: This paper suggests a modified methodology for the modeling and simulation of a chaotic oscillator. Its analysis and the pertinent results of an efficient Mathematica simulation program dealing with a typical Chua's circuit are presented and discussed. The derived computer code is based on the application of state-variables in the time domain. The program yields the circuit’s currents and voltages and indicates their sensitivities to changes in the numerical values …
Published in Journal of Power Electronics and Power Systems · Vol. 11, Issue 1, 2021 · pp. 28–37 Read article
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On The Time-Domain Analysis of the Electromagnetic Transients in High-Voltage Line Towers
Abstract: This paper presents an efficient and direct method for the time-domain transient analysis of high voltage power line towers. A Mathematica-based numerical solution of the governing set of simultaneous partial differential and algebraic equations is proposed. The results of a corresponding computer code are presented and discussed. A comparison with other more sophisticated analytical time-and Laplace-domain approaches is presented. In addition to the possible use of the EMTP transients’ program, …
Published in Journal of Nuclear Engineering & Technology · Vol. 13, Issue 2, 2023 · pp. 12–20 Read article
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Steady State and Transient Analysis of 6-Pulse Rectifier Bridges Including Faulty Diodes
Abstract: This paper addresses the steady-state and transient responses of un-controlled faulty 6-pulse diode rectifier bridge circuits. The faulty bridges can include several simultaneous diode valves’ open- or short-circuits. An efficient representation of the diodes is adopted in order to describe their performance in both the forward and reverse directions. A set of simultaneous differential and algebraic equations simulating the faulty rectifier bridge is presented. Its numerical solution is obtained through …
Published in Journal of Power Electronics and Power Systems · Vol. 10, Issue 3, 2020 · pp. 19–31 Read article
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Transient Analysis of Non-Uniform Windings or Lines with Non-Linear Termination
Abstract: The paper deals with the transient analysis of non-uniform transmission lines and machine windings with non-linear terminations. The proposed time-domain technique is characterized by a relatively small computational burden. The analytical solution of the derived system of simultaneous differential and algebraic equations is done in Mathematica. The procedure is applied to several representative case studies involving line and winding non-uniformity and/or the non-linearity of the load termination, such as diodes …
Published in Journal of VLSI Design Tools and Technology · Vol. 11, Issue 2, 2021 · pp. 42–50 Read article
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Effects of Variation of Differential Gain and Injection Current on the Performance Characteristics of the Designed 405 nm MQW Violet Laser
Abstract: AbstractIn this work the Designing and Performance Analysis of a 405 nm InGaN based multi quantum well (MQW) Violet Laser have been presented. The internal designing of 405nm Violet Laser has been done with appropriate calculation. The desired wavelength of 405nm was obtained by adjusting the exact concentration of In0.0979Ga0.9021N / Al0.07Ga0.93N. The effects on Rate Equations by varying the differential gain and Injection current have been observed. Also the …
Published in Trends in Opto-electro & Optical Communication · Vol. 4, Issue 1, 2014 · pp. 13–22 Read article
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Correlation Between eAG Values Calculated from Hba1c Values Obtained from Three Different Techniques and Fasting Plasma Glucose Levels for Diagnosis and Prognosis of Diabetes
Abstract: The objective of the present study was to correlate estimated average glucose (eAG) values calculated from HbA1c values obtained from Tosoh TLC-723 G8 based on cation exchange based HPLC, TBA 12 FR enzymatic fructosyl peptide oxidase (FPOX) method and D10 HbA1c analyser Bio Rad Laboratories (USA) with fasting plasma glucose (FPG) levels by hexakinase method for diagnosis and prognosis of diabetes.A total of 300 randomly selected patient samples were analysed …
Published in Research & Reviews: A Journal of Bioinformatics · Vol. 3, Issue 3, 2016 · pp. 1–14 Read article
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Investigation of free convection heat transfers in an attic shaped eclosure
Abstract: Absrtact Numerical investigation of free convection heat transfers in an attic shaped enclosure with differentially heated two inclined walls and filled with air is performed in this study. The left inclined surface is uniformly heated whereas the right inclined surface is uniformly cooled. There is a heat source placed on the right side of the bottom surface. Rest of the bottom surface is kept as adiabatic. Finite volume based commercial …
Published in Journal of Refrigeration, Air conditioning, Heating and ventilation · Vol. 4, Issue 2, 2017 · pp. 13–26 Read article
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Thermodynamic Analysis of an Adsorption Refrigeration System
Abstract: In this paper, thermodynamics analysis of an adsorption refrigeration pair (activated carbon and methanol) at adsorption equilibrium conditions has been proposed. Similar analyses have been done by different scientists for different combinations of adsorbent-adsorbate pairs. Adsorption refrigeration processes normally occurs in physical adsorption condition and activated carbon molecules being non-polar in nature, micropores approach of adsorption (Polanyi’s micropores theory and D-A equation) has been followed here. Analysis of the adsorption …
Published in Journal of Refrigeration, Air conditioning, Heating and ventilation · Vol. 1, Issue 1, 2014 · pp. 30–37 Read article
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Mapping of Crop Management Factor (C) for Sylhet Sadar using Remote Sensing and GIS
Abstract: Sylhet Sadar suffers from excessive rainfall causing the enormous soil loss in this area. C-factor is one of the most important parameter of the Universal Soil Loss Equation (USLE) and revised version of USLE for estimating soil loss. The current study was conducted for determining the crop management factor (C) using remote sensing (RS) and geographical information system (GIS) tools. Satellite images (Landsat 7 ETM+ of 2000, 2010 and Landsat …
Published in Journal of Remote Sensing & GIS · Vol. 11, Issue 3, 2020 · pp. 35–46 Read article
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Artificial Intelligence–Assisted Reduced-Order Modeling and Stability Control in Granular Couette Flow
Abstract: This study develops a reduced-order and stability-aware modeling framework for dense granular Couette flow by integrating continuum mechanics, bifurcation analysis, and data-driven stability estimation. Starting from coupled governing equations for momentum, granular temperature, and microstructural evolution, the system is nondimensionalized and reduced using a Galerkin projection consistent with shear-driven boundary conditions. This yields a low-dimensional nonlinear dynamical system that preserves the essential coupling between velocity, fluctuation energy, and structural relaxation. …
Published in Emerging Trends in Chemical Engineering · Vol. 13, Issue 3, 2026 Read article