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A local meshless method for the numerical solution of multi-term time-fractional generalized Oldroyd-B fluid model [PDF]
HeliyonThis work presents an accurate and efficient method, for solving a two dimensional time-fractional Oldroyd-B fluid model. The proposed method couples the Laplace transform (LT) with a radial basis functions based local meshless method (LRBFM).
Salma Aljawi +3 more
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Meshless method for the numerical solution of the Fokker–Planck equation
Ain Shams Engineering Journal, 2015 In this paper numerical meshless method for solving Fokker–Planck equation is considered. This meshless method is based on multiquadric radial basis function and collocation method to approximate the solution.
Maysam Askari, Hojatollah Adibi
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Journal of Hydroinformatics, 2023 The Saint-Venant equations are numerically solved to simulate free surface flows in one dimension. A Riemann solver is needed to compute the numerical flux for capturing shocks and flow discontinuities occurring in flow situations such as hydraulic jump,
D. Satyaprasad +2 more
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On Interpolative Meshless Analysis of Orthotropic Elasticity
Buildings, 2023 As one possible alternative to the finite element method, the interpolation characteristic is a key property that meshless shape functions aspire to. Meanwhile, the interpolation meshless method can directly impose essential boundary conditions, which is
You-Yun Zou +4 more
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A meshless solution of nonlinear elastoplastic problems based on the RRKPM
Results in Physics, 2021 In this paper, a numerical approach based on the reproducing kernel particle method (RKPM) and the radial basis function (RBF), which is defined as meshless radial basis reproducing kernel particle method (RRKPM), is developed and presented for solving ...
Hongfen Gao, Gaofeng Wei
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MODELING AND SIMULATION OF THERMOMECHANICAL STRESSES AND RESIDUAL STRESSES IN RESISTANCE SPOT WELDING BETWEEN TWO SHEETS OF MLPG METHOD [PDF]
مجله مدل سازی در مهندسی, 2013 In current years, some attempts have been done to eliminate the grid of numerical solving processes. These attempts were created the groups of calculation methods which are known as meshless methods. MLPG methods are one of the efficient meshless methods
R. Vahdati, M. OzvAminian
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Alexandria Engineering Journal, 2020 In this work, a meshless method in local setting and Laplace transform are coupled to approximate partial integro-differential equations (PIDEs). The typical method of obtaining the approximate solution of such type of equations is to use the meshless ...
Kamran, Gohar Ali, J.F. Gómez-Aguilar
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Open Physics, 2021 In this study, we propose a simple direct meshless scheme based on the Gaussian radial basis function for the one-dimensional linear and nonlinear convection–diffusion problems, which frequently occur in physical phenomena.
Wang Fuzhang +3 more
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Meshless methods for magnetohydrodynamics with vector potential
Journal of Computational Physics, 2022 17 pages, 11 figures, accepted for publication in Journal of Computational ...
Xiongbiao Tu +3 more
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Advances in Difference Equations, 2021 In this article we propose a hybrid method based on a local meshless method and the Laplace transform for approximating the solution of linear one dimensional partial differential equations in the sense of the Caputo–Fabrizio fractional derivative.
Raheel Kamal +5 more
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