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Bivariate Infinite Series Solution of Kepler’s Equations [PDF]
Mathematics, 2021 A class of bivariate infinite series solutions of the elliptic and hyperbolic Kepler equations is described, adding to the handful of 1-D series that have been found throughout the centuries.
Daniele Tommasini
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A Simple Approach to Volterra-Fredholm Integral Equations [PDF]
Journal of Applied and Computational Mechanics, 2020 This paper suggests a simple analytical method for Volterra-Fredholm integral equations, the solution process is similar to that by variational-based analytical method, e.g., Ritz method, however, the method requires no establishment of the variational ...
Ji-Huan He
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Can a Finite Degenerate ‘String’ Hear Itself The Exact Solution to a Simplified IBVP
Journal of Optimization, Differential Equations and Their Applications, 2022 The separation of variables based solution to a simplified (compared to that published earlier in JODEA, 28 (1) (2020), 1 – 42) initial boundary value problem for a 1D linear degenerate wave equation, posed in a space-time rectangle, has been presented ...
Vladimir L. Borsch, Peter I. Kogut
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Frontiers in Earth Science, 2023 Multispecies pollutant migration often occurs in polluted groundwater systems. Most of the multispecies problems that have been dealt in the literature assume constant transport parameters, primarily because analytical solutions for varying parameters ...
Manotosh Kumbhakar, Vijay P. Singh
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Buckling analysis of laminated composite thin-walled I-beam under mechanical and thermal loads
Vietnam Journal of Mechanics, 2023 Despite the extensive use of thin-walled structures, the studies on their behaviours when exposed to extreme thermal environment are relatively scarce.
Xuan-Bach Bui +4 more
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Mathematics, 2023 The delay differential equations are of great importance in real-life phenomena. A special type of these equations is the Pantograph delay differential equation.
Abdulrahman B. Albidah +3 more
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A Proposed Analytical and Numerical Treatment for the Nonlinear SIR Model via a Hybrid Approach
Mathematics, 2023 This paper re-analyzes the nonlinear Susceptible–Infected–Recovered (SIR) model using a hybrid approach based on the Laplace–Padé technique. The proposed approach is successfully applied to extract several analytic approximations for the infected and ...
Abdulrahman B. Albidah
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Coplanar Maneuvers Transfer for Mission Design with Lowest ∆ʋ using Series Solution [PDF]
Kirkuk Journal of Science, 2015 Orbital maneuver transfer time is traditionally accomplished using direct numerical sampling to find the mission design with the lowest delta-ʋ requirements.
Mayada J. Hamwdi +2 more
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Walailak Journal of Science and Technology, 2013 In this paper, the Optimal Homotopy Analysis Method (OHAM) has been used to derive a highly accurate analytic solution for the steady three-dimensional problem of a condensation film on an inclined rotating disk.
Hany Nasr HASSAN, Mohammad Mehdi RASHIDI
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Photonic Sensors, 2018 Starting from the basic equations describing the evolution of the carriers and photons inside a semiconductor optical amplifier (SOA), the equation governing pulse propagation in the SOA is derived.
Xiaofei Jia
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