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Chengyan Wang, Yuanting Zou, Ji Huang and Chia-Ming Fan
The moving pseudo-boundary method of fundamental solutions (MFS) was employed to solve the Laplace equation, which describes the potential flow in a two-dimensional (2D) numerical wave tank. The MFS is known for its ease of programming and the advantage ...
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Zacharoula Kalogiratou and Theodoros Monovasilis
Two-Derivative Runge?Kutta methods have been proposed by Chan and Tsai in 2010 and order conditions up to the fifth order are given. In this work, for the first time, we derive order conditions for order six. Simplifying assumptions that reduce the numbe...
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Jianmin Wen, Chenqi Fu, Hong Zhang and Bindi You
The internal beveloid gear has good scientific research value and a broad application field. However, there is a lack of research on the nonlinear vibration characteristics of internal beveloid gears. The present study establishes a nonlinear vibration m...
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Marcos Tostado-Véliz, Salah Kamel, Antonio Escamez, David Vera and Francisco Jurado
This work proposes a common framework for developing robust Power-Flow solvers that may find multiple applications in power system analysis tools.
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Musa Ahmed Demba, Poom Kumam, Wiboonsak Watthayu and Pawicha Phairatchatniyom
In this work, a pair of embedded explicit exponentially-fitted Runge?Kutta?Nyström methods is formulated for solving special second-order ordinary differential equations (ODEs) with periodic solutions. A variable step-size technique is used for the deriv...
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Nizam Ghawadri, Norazak Senu, Firas Adel Fawzi, Fudziah Ismail and Zarina Bibi Ibrahim
In this study, fifth-order and sixth-order diagonally implicit Runge?Kutta type (DIRKT) techniques for solving fourth-order ordinary differential equations (ODEs) are derived which are denoted as DIRKT5 and DIRKT6, respectively. The first method has thre...
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Nizam Ghawadri, Norazak Senu, Firas Adel Fawzi, Fudziah Ismail and Zarina Bibi Ibrahim
In this study, fifth-order and sixth-order diagonally implicit Runge–Kutta type (DIRKT) techniques for solving fourth-order ordinary differential equations (ODEs) are derived which are denoted as DIRKT5 and DIRKT6, respectively. The first method ha...
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Pavel Ryzhakov and Julio Marti
The fractional step method is a technique that results in a computationally-efficient implementation of Navier?Stokes solvers. In the finite element-based models, it is often applied in conjunction with implicit time integration schemes. On the other han...
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R. Ya. Pelekh,Yu. Yu. Luchko
Pág. 131 - 137
The two-side methods of the second order of accuracy are constructed. The formulas give an opportunity to receive upper and lover approximation at each point to the exact solution and define the value of the main error without referring to the right part...
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Sascha Bremicker-Trübelhorn and Sigrun Ortleb
The application of partitioned schemes to ?uid?structure interaction (FSI) allows the use of already developed solvers specifically designed for the efficient solution of the corresponding subproblems. In this work, we propose and describe a loosely coup...
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Sascha Bremicker-Trübelhorn and Sigrun Ortleb
The application of partitioned schemes to fluid?structure interaction (FSI) allows the use of already developed solvers specifically designed for the efficient solution of the corresponding subproblems. In this work, we propose and describe a loosely cou...
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Noori Y. Abdul-Hassan, Zainab J. Kadum and Ali Hasan Ali
In this paper, we propose a new numerical scheme based on a variation of the standard formulation of the Runge?Kutta method using Taylor series expansion for solving initial value problems (IVPs) in ordinary differential equations. Analytically, the accu...
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Indranil Ghosh, Muhammad Mahbubur Rashid, Shukranul Mawa, Rupal Roy, Md Manjurul Ahsan, Muhammad Ramiz Uddin, Kishor Datta Gupta and Pallabi Ghosh
The human immunodeficiency virus (HIV) mainly attacks CD4+ T cells in the host. Chronic HIV infection gradually depletes the CD4+ T cell pool, compromising the host?s immunological reaction to invasive infections and ultimately leading to acquired immuno...
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Masiala Mavungu
This paper addresses the modeling and the control of an autonomous bicycle robot where the reference point is the center of gravity. The controls are based on the wheel heading?s angular velocity and the steering?s angular velocity. They have been develo...
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Nan Si, Zhaokuan Lu and Alan Brown
Solution of near-field underwater explosion (UNDEX) problems frequently require the modeling of two-way coupled fluid-structure interaction (FSI). This paper describes the addition of an embedded boundary method to an UNDEX modeling framework for multiph...
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Saed Mallak, Basem Attili and Marah Subuh
We study hybrid fuzzy differential equations (HFDEs) under the Hukuhara derivative numerically using Picard?s and the general linear method (GLM). We use trapezoidal and triangular fuzzy numbers as the initial conditions. To demonstrate the efficiency of...
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V. Ye. Volkova
Pág. 115 - 120
The methods and results of the numerical modelling, qualities and peculiarities of the non-linear mechanical system biharmonic forced oscillations, described by the non-linear differential equation. are presented in the paper. The method of numerical int...
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Freddy Fernando Valderrama, Henry Moreno C, Héctor Manuel Vega
Pág. 44 - 55
En este artículo se describe el comportamiento de un pulsador elevador (Boost), este circuito de amplio uso a nivel industrial exhibe un comportamiento no lineal en virtud de su sistema de conmutación, se obtienen y simulan las ecuaciones diferenciales n...
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Zhuowei Zhou and Ningchuan Zhang
Existing numerical models for direct simulations of stochastically directional waves are limited by their computational burden, and only a few of them can be applied to modeling directional waves on account of nonlinear evolutions on large time scales. I...
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Mahmoud Saleh, Endre Kovács and Imre Ferenc Barna
The time-dependent diffusion equation is studied, where the diffusion coefficient itself depends simultaneously on space and time. First, a family of novel, nontrivial analytical solutions is constructed in one space dimension with the classical self-sim...
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