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606 articles for “Navier–Stokes equation”
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Optimal Homotopy Analysis Method (OHAM) For the Approximate Series Solution of Non-linear Partial Differential Equation
Abstract: In this article, we have used the Optimal Homotopy Analysis Method (OHAM), which is a basically semi-analytic method to solve differential equations. The ability for the user to choose the convergence control parameter, auxiliary linear operator, auxiliary function, and starting approximation is what sets apart the OHAM technique. We guaranteed the efficacy and efficiency of the procedure by fine-tuning the convergence control parameter. We solved a non-linear partial differential equation …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 Read article
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Mathematical Modeling of Epidemics Using Stochastic Differential Equations: A Review
Abstract: The accurate modeling of infectious disease dynamics is crucial for predicting outbreaks and informing public health interventions. While deterministic models such as the SIR (Susceptible-Infected-Recovered) framework have traditionally been used to understand disease transmission, they often fail to account for the randomness inherent in real-world scenarios. Disease spread is influenced by numerous uncertain factors, including individual behavioral changes, environmental fluctuations, and imperfect data reporting. These uncertainties can significantly impact model …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 1–6 Read article
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Real-Time Edge Detection Camera Module Using Discrete Taylor Transform and Heat Equation (PDE): An Applied Mathematical Approach
Abstract: In modern digital signal processing, the capability for denoising and smoothing in real time is very important in scientific, engineering, and industrial applications. This paper presents an efficient hybrid framework that merges two mathematically sound methods, namely, DTT and PDE defined as the Heat Equation, to robustly denoise a signal with minimal distortion. The model addresses one of the most challenging tasks in signal restoration, which maintains the fidelity of …
Published in Current Trends in Signal Processing · Vol. 16, Issue 2, 2026 · pp. 9–14 Read article
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Predicting Rate Equation for the Synthesis of Octadec-9-Enoic Acid Methyl Esters by the Methanolysis of Pongamia Pinnata Triglycerides Using Sono Reactor
Abstract: In the present work, octadec-9-enoic acid methyl esters are synthesized from pongamia pinnata oil using methanolysis in sono reactor. The rate equation is predicted for the methanolysis reaction. The produced methyl esters from pongamia pinnata oil confirmed to ASTM D6751 standards. Fourier Transform Infrared Analysis and Gas Chromatography Mass Spectrometry were used to characterise the methyl esters. The rate is dependent greatly on methanol concentration, and then on catalyst concentration …
Published in Journal of Polymer & Composites · Vol. 9, Issue 3, 2021 · pp. 45–55 Read article
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Solving Non-Linear Equations for Thevenin and Norton Circuits using Analog Behavioural Modelling with PSPICE Software
Abstract: A new approach useful for circuit designers for implementing circuit parameters described by non-linear equations and Thevenin and Norton network equivalent parameters represented by equations is given. The content is divided into two parts, (a)Solving Non-linear equations using analog behavioral modelling using Pspice software (b) Thevenin and Norton equivalent circuit parameter determination for pure resistance DC circuits using SPICE simulator. The non-linear equations are solved using network elements/models described by …
Published in Journal of Semiconductor Devices and Circuits · Vol. 13, Issue 2, 2026 · pp. 28–36 Read article
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Modified Riemann−Liouville Fractional Derivative and Differential Equation for a Class of New Levy-type Probabilities
Abstract: The aim of the present paper to obtained the solution of differential equations involving Modified Riemann-Liouville fractional derivative in addition to it Levy-type one sided probability density function. Some scientist studied a small number of interesting problems regarding diffusing processes in media with fractal geometry, and formulated fractional diffusion.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 3, 2014 · pp. 42–44 Read article
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Fractional Free Electron Laser Equation and K-Function
Abstract: AbstractIn this era, fractional free electron laser (FEL) equations are studied due to their utility and importance in mathematical physics and engineering. The aim of present paper is to find the solution of generalized fractional order free electron laser (FEL) equation, using K-function. The results obtained here are moderately universal in nature. Special cases, relating to the exponential function are also considered. The special functions were introduced in 18th century …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 17–20 Read article
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Study of the Hammett equation for oxidation of 2 – Hydroxy – 1 - Naphthalidene Anil and para substituted chloroanils by potassium bromate in acid medium
Abstract: The kinetics of oxidation of the Schiff base and its substituted anils by potassium bromate in aquo-acetic acid medium has been studied in this work. The study of thermodynamic parameters is done, and the rate constants for the reaction are determined. The plot of log{ks/k0} against the substituent constant (ï³ ) is plotted for para and meta substitution and the reaction constant (ï²) is calculated. The plot of ï„H against …
Published in Journal of Modern Chemistry & Chemical Technology · Vol. 7, Issue 2, 2016 · pp. 1–4 Read article
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Group Technique for Boundary Layer Equations of Time-Dependent Power-Law Fluids Over Non-Isothermal Surface
Abstract: The multi-parameter group technique is developed to derive invariant solution for the system of non-linear partial differential equations governing unsteady, two-dimensional boundary layer flows over a heated surface of power-law fluids. The basic non-liner system of partial differential equations with three independent variables is converted into system of non-linear ordinary differential equation, by single application using proposed multiparameter group method. The numerical solution for the system of nonlinear ordinary differential …
Published in Research & Reviews : Journal of Physics · Vol. 8, Issue 2, 2019 · pp. 61–68 Read article
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Noise Analysis of Single-Ended Input Differential Amplifier (MOS) using Stochastic Differential Equation
Abstract: AbstractIn this paper, we do the noise analysis of single-ended input differential amplifier (MOS). Stochastic differential equations are used to analyse the effect of extrinsic noise. We use time domain method and use SDE (Stochastic Differential Equation) to determine autocorrelation function for the output process. Mean and variance of the output noise is obtained. This analysis helps to get circuit with better noise performance. The analysis compares the noise performance …
Published in Journal of Microwave Engineering and Technologies · Vol. 4, Issue 3, 2017 · pp. 19–25 Read article
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Advanced Computable Extension of New Fractional Kinetic Equation
Abstract: AbstractThe aim of this work is to find advanced computable extension of kinetic equation with fractional calculus approach. Fractional calculus originated in 1695, shortly after the inversion of classical calculus. The pioneer researchers who studied it were Liouville, Riemann, Leibniz, etc. For a long time, fractional calculus has been regarded as a pure mathematical area without applications. But, in recent decades, such type of synergism has been changed. It has …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 74–80 Read article
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An Ecology Equation
Abstract: The conservation of ecology is reviewed by an equation. Ecology is studied in this paper via mathematics. This paper presents an equation of ecology. The objective of this paper is to solve the problems of nature by the mathematical concept. The mathematical transformation of natural phenomenon for analyzing the hidden rules of the nature is the key objective of this paper. The theory of sets, function and its application based …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 2, 2020 · pp. 18–20 Read article
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H-Component residual Geomagnetic field variation at low and equatorial stations during the geomagnetic storm of May 29-31, 2003
Abstract: The variation of the H-component residual geomagnetic field during the storm of 29-31 May, 2003 has been studied for features of induced current at low and equatorial stations. Five stations (three from the Indian chain of stations) lying close to the dip equator but within less than 7 hrours apart were used to investigate the nature of the response of the ground stations to possible induced fields other than the …
Published in Research & Reviews : Journal of Space Science & Technology · Vol. 8, Issue 3, 2019 · pp. 56–62 Read article
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Predictability of Equation of State (EoS)-based Gas Hydrate Models for Single and Binary Gas Mixtures
Abstract: The better models are necessary to design and understand the phase behavior of produced trapped natural gas from natural gas hydrates from subsea environments. Most of the models available in an open literature are primarily applicable at relatively low pressure condition thus making their use very limited for gas hydrate reservoir modeling. In order to produce methane from these gas hydrates, it is important to understand the phase behavior through …
Published in Journal of Petroleum Engineering & Technology · Vol. 2, Issue 1-3, 2012 · pp. 83–91 Read article
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Stochastic Differential Equation Noise Analysis of Common-Gate Amplifier with Capacitive Load
Abstract: In this paper, common-gate amplifier with capacitive load is analysed to observe the effect of noise on the circuit. We used stochastic differential equations to analyse the effect of extrinsic noise. We adopted time domain approach and used SDE to obtain autocorrelation function for the output voltage. We determined mean and variance of the output noise. This analysis leads to obtain the circuit with better noise performance. Keywords: Common-gate amplifier, …
Published in Journal of Semiconductor Devices and Circuits · Vol. 5, Issue 1, 2018 · pp. 1–4 Read article
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Kantowski-Sachs Cosmological Model with Quadratic Equation of State in Gravity
Abstract: In this paper, we have investigated Kantowski-Sachs cosmological model with Quadratic Equation of State (QEoS) in the framework of Teleparallel Gravity, so called gravity, where T denotes the torsion scalar. The behavior of accelerating universe is discussed by considering Linear gravity i.e. . The solutions of field equations are obtained by using variable deceleration parameter. The physical behavior of these models has been discussed using some physical quantities. Also, the …
Published in Research & Reviews : Journal of Physics · Vol. 8, Issue 1, 2019 · pp. 83–91 Read article
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Study on the Method of Constructing a System of Linear Equations for Calculating Aerodynamic Derivatives
Abstract: The aerodynamic derivatives can be calculated from the unsteady hydrodynamic forces experienced by the harmonic-oscillating vehicle. Until now, unsteady flow field analysis in aerodynamic derivative calculations has been applied mainly to thin bodies based on potential theory MSC. Nastran is a typical application based on potential theory MSC. Natran can calculate the aerodynamic derivatives of the vehicle relatively well in the subsonic region, but in the supersonic region, the fuselage …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 3, 2025 · pp. 14–24 Read article
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Finite Difference Analysis of Plane Couette Flow using MATLAB
Abstract: Internal flow is a flow for which the fluid is confined by a surface. Hence, the boundary layer is unable to develop without eventually being constrained. An internal flow is constrained by the bounding walls, and the viscous effects will grow and meet and permeate the entire flow. Some examples of internal flows are: flow between two parallel horizontal plates, Couette flow, plane Poiseuille flow, flow through pipes, etc. In …
Published in Journal of Experimental & Applied Mechanics · Vol. 10, Issue 1, 2019 · pp. 17–22 Read article
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Numerical Study of Lid Driven Cavity at Different Reynolds Number
Abstract: The present work focuses on flow inside a lid-driven cavity; main aim is to obtain the velocity field in steady state condition using Navier-Stoke equations. Navier-stoke equation has been converted into algebraic form using finite difference method (FDM). Pertinent parameter of the present study is Reynolds number. Stream-vorticity approach has been adopted to solve the physical problem. Different Reynold numbers and grid sizes have been studied. Peaks of the velocity …
Published in Trends in Mechanical Engineering & Technology · Vol. 5, Issue 3, 2015 · pp. 42–46 Read article
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Evolution of Empirical Equations for Prediction of Melting Point and Latent Heat of Alkanes
Abstract: Alkanes and paraffins are well recognized phase change materials (PCMs) for low and medium range temperature thermal energy storage applications. Melting point and latent heat are two crucial parameters for any PCM for its use in any thermal storage application. The values of these parameters are normally measured by expensive and time consuming measuring devices.In this paper, three empirical equations are presented to predict the melting point and latent heat …
Published in Journal of Modern Chemistry & Chemical Technology · Vol. 7, Issue 3, 2016 · pp. 8–11 Read article