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A New Solution for the Classical Problem of a Rigid Body Motion in a Liquid [PDF]
Journal of Applied and Computational Mechanics, 2021 We consider the problem of the motion of a rigid body-gyrostat immersed in an incompressible ideal fluid. Based on Yehia's study [1, 2], the equations of the motion of the problem are introduced and they are reduced to the orbital equation.
H.M. Yehia, S.F. Megahid
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Partial Differential Equations in Applied Mathematics, 2023 In recent years, localized methods are proven to be very effective for solving various types of problems in scientific computing. Many researchers have successfully implemented localized approaches to solve large-scale problems.
A.R. Lamichhane +2 more
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Mathematics, 2023 Recently, the localized oscillatory radial basis functions collocation method (L-ORBFs) has been introduced to solve elliptic partial differential equations in 2D with a large number of computational nodes.
Anup Lamichhane +2 more
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Periodic and Solitary Wave Solutions of the Long Wave–Short Wave Yajima–Oikawa–Newell Model
Fluids, 2022 Models describing long wave–short wave resonant interactions have many physical applications, from fluid dynamics to plasma physics. We consider here the Yajima–Oikawa–Newell (YON) model, which was recently introduced, combining the interaction terms of ...
Marcos Caso-Huerta +4 more
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Partial Differential Equations in Applied Mathematics, 2021 The localized method is one of the popular approaches in solving large-scale problems in science and engineering. In this paper, we implement the localized method of particular solutions using polynomial basis functions for solving various nonlinear ...
T. Dangal +2 more
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Exact solutions of the angular Teukolsky equation for particular cases
Results in Physics, 2021 In this work we solve the angular Teukolsky equation in alternative way for a more general case τ≠0 but m=0,s=0. We first transform this equation to a confluent Heun differential equation and then construct the Wronskian determinant to calculate the ...
Chang-Yuan Chen +5 more
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Analytical solutions of a particular Hill's differential system [PDF]
INCAS Bulletin, 2019 Consider a second order differential linear periodic equation. This equation is recast as a first-order homogeneous Hill’s system. For this system we obtain analytical solutions in explicit form. The first solution is a periodic function.
Nicolae MARCOV
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Mathematics, 2022 This article describes the development of the Hermite method of approximate particular solutions (MAPS) to solve time-dependent convection-diffusion-reaction problems.
Jen-Yi Chang +2 more
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Existence and Multiplicity of Solutions for a Class of Particular Boundary Value Poisson Equations
Mathematics, 2022 In this paper, a special class of boundary value problems, −▵u=λuq+ur,inΩ,u>0, inΩ,n·∇u+g(u)u=0,on∂Ω, where ...
Songyue Yu, Baoqiang Yan
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DETERMINATION OF SOME SOLUTIONS OF THE STATIONARY 2D NAVIER-STOKES EQUATIONS [PDF]
Journal of Engineering Science (Chişinău), 2022 In this paper, various solutions of the stationary Navier-Stokes equations, which describe the planar flow of an incompressible liquid (or gas), are determined, i.e., solutions containing the components of the velocity of flow - the functions u, v and ...
BALTAG, Iurie
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