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4 articles for “Runge-Kutta method”
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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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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