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8 articles for “Runge-Kutta”
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Analysis of a New Approach to Admission Call Control
Abstract: This study presents a new method of managing call admission in wireless networks using a resource reservation technique. The system under study comprises a defined number of operating devices, standby units, and technicians assigned to repair failed devices. In this method, the failure and repair of devices are assumed to follow an exponential distribution. Whenever a device fails, a standby unit replaces it to maintain seamless functionality, and the failed …
Published in International Journal of Mobile Computing Technology · Vol. 3, Issue 2, 2025 · pp. 01–06 Read article
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Development and Simulation of Non-Linear Gear Dynamics Model
Abstract: With the development of high-speed mechanical transmission, the dynamic characteristics of gear transmission require continuous improvement and more accurate prediction of the gear system dynamics becomes more and more important. The literature revealed that the gear pair transmission system is inherently non-linear which exhibits complex behavior and it is significant to study its vibration characteristics in detail and to analyze the influencing factors. A nonlinear dynamic model of gear transmission …
Published in Journal of Aerospace Engineering & Technology · Vol. 3, Issue 2, 2013 · pp. 11–16 Read article
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Influence of Photoelectrons on Spacecraft Charging for Artificial Orbiting Spacecraft
Abstract: For the purpose of evaluating the temporal body potential and capacitance of an artificial orbiting spacecraft, this research analyzes the impact of photoelectrons on spacecraft charging. A metallic rectangular cuboid and two coplanar metallic rectangular plates compose the spacecraft model. The Runge-Kutta method is used to calculate the body potential, and the method of moments is used to calculate the capacitance. Depending on the spacecraft's inclination angle, solar energy from …
Published in Research & Reviews : Journal of Space Science & Technology · Vol. 14, Issue 1, 2025 · pp. 36–46 Read article
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Numerical Solution of Ordinary Differential Equation and Solution of Partial Differential Equation
Abstract: This research paper explores the fundamental role of various mathematical concepts in engineering and scientific fields like aerospace engineering, materials science, software development, and the energy sector. We delve into the applications of solving algebraic and transcendental equations, finite difference interpolation, numerical methods, solutions to ordinary differential equations (ODEs), and numerical solutions to partial differential equations (PDEs). By examining their applications in these diverse fields, we illustrate the critical importance …
Published in Journal of Aerospace Engineering & Technology · Vol. 14, Issue 3, 2024 · pp. 12–20 Read article
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Mathematical Modelling on Unsteady Blood Flow and Unsteady Heat Transfer Through a Stenosed Artery with Hematocrit and Slip Velocity
Abstract: A theoretical investigation concerning variable viscosity dependent on percentage concentration of red blood cell interm of total volume of blood (hematocrit) and slip velocity on unsteady flow of blood and heat transfer has been carried out. The analytical expressions for the flow characteristics and the heat transfer rate, including the velocity profile, volumetric flow rate, flow resistance, wall shear stress, and temperature profile, were obtained using the weighted residual method, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 2, 2025 · pp. 16–36 Read article
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Similarity Solution of Two-dimensional Fluid Flow over a Flat Plate Using Shooting Technique
Abstract: The steady incompressible laminar viscous flow over a flat plate is solved using similarity variable transformed equation. The two-dimensional momentum and forced convection energy equations are reduced to boundary layer equation. These equations are transformed into similarity variable form. The surface of the wall is maintained at constant temperature. Shooting technique is used to solve these equations using Runge-Kutta method, Predictor-Corrector method, Modified Euler method, Adam-Bashforth method and Milne’s method. …
Published in Journal of Experimental & Applied Mechanics · Vol. 10, Issue 2, 2019 · pp. 23–30 Read article
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STUDY OF SMALL SIGNAL DISTUBANCES IN MULTI MACHINE POWER SYSTEM USING MATLAB
Abstract: The distance of electricity transmission gets longer and longer, and capacity is also increasing, the voltage level by transport is becoming more and higher, while the stability problem of power system is more and more prominent. If the power system's stability is destroyed, it can cause a very serious problem. This report describes the computational technique used to solve the large and complex mathematical problem in an easier and convenient …
Published in Journal of Industrial Safety Engineering · Vol. 6, Issue 1, 2019 · pp. 36–66 Read article
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Evaluating the Influence of Catalyst and Temperature Effectiveness Factor on Reactor Performance for Direct Synthesis of Dimethyl Carbonate using Carbon Dioxide and Methanol
Abstract: In this research, the effectiveness of a packed bed reactor employing a nanorod ceria catalyst for the direct synthesis of dimethyl carbonate (DMC) from methanol and carbon dioxide (CO2) is assessed. In order to combat the growing CO2 levels, this study converted the greenhouse gas into dimethyl carbonate, a feedstock for green chemicals. In order to estimate the fractional conversion of methanol and DMC yield under different operating parameters, including …
Published in Journal of Modern Chemistry & Chemical Technology · Vol. 14, Issue 3, 2023 · pp. 37–48 Read article