Results 41 to 50 of about 2,654 (171)
Characteristic-Based Split Meshless Solution for Couette Flow
Civil and Environmental Engineering, 2014 The paper deals with use of the meshless method for incompressible fluid flow analysis. There are many formulations of the meshless methods. The article presents the Meshless Local Petrov-Galerkin method (MLPG) - local weak formulation of the Navier ...
Mužík Juraj
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The Numerical Solution of Fractional Black‐Scholes‐Schrodinger Equation Using the RBFs Method
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 In this paper, radial basis functions (RBFs) method was used to solve a fractional Black‐Scholes‐Schrodinger equation in an option pricing of financial problems. The RBFs method is applied in discretizing a spatial derivative process. The approximation of time fractional derivative is interpreted in the Caputo’s sense by a simple quadrature formula ...
Naravadee Nualsaard +3 more
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Meshless Solution of Incompressible Flow Over Backward-Facing Step
Civil and Environmental Engineering, 2016 Article presents the use of the meshless method for numerical simulation of incompressible fluid flow. The article presents the implementation of the meshless local Petrov-Galerkin method (MLPG), with Navier-Stokes equation formulated using the local ...
Mužík Juraj
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Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 Friction stir welding (FSW) is a favorable welding technology for aluminum alloys. The FSW process involves complex heat and mass transfer. Explicit meshless particle methods are currently popular methods for simulating the process, but they require expensive computational cost.
Yihua Xiao, Hecheng Wu, Nunzio Salerno
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Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 The interpolating boundary element‐free method (IBEFM) is a direct solution method of the meshless boundary integral equation method, which has high efficiency and accuracy. The IBEFM is developed based on the interpolating moving least‐squares (IMLS) method and the boundary integral equation method.
Jufeng Wang +3 more
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An advanced meshless method for time fractional diffusion equation [PDF]
, 2011 Recently, because of the new developments in sustainable engineering and renewable energy, which are usually governed by a series of fractional partial differential equations (FPDEs), the numerical modelling and simulation for fractional calculus are ...
Gu Y. T. +7 more
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Numerical Solution of Sine‐Gordon Equation with the Local Kriging Meshless Method
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 This paper develops a local Kriging meshless solution to the nonlinear 2 + 1‐dimensional sine‐Gordon equation. The meshless shape function is constructed by Kriging interpolation method to have Kronecker delta function property for the two‐dimensional field function, which leads to convenient implementation of imposing essential boundary conditions ...
Pengfei Guo +4 more
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Meshless Modelling of Laminate Mindlin Plates under Dynamic Loads
Communications, 2012 Collocation method and Galerkin method have been dominant in the existing meshless methods. A meshless local Petrov-Galerkin (MLPG) method is applied to solve laminate plate problems described by the Reissner-Mindlin theory for transient dynamic loads ...
Milan Zmindak, Daniel Riecky
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Meshless simulation of dam break using MLPG-RBF and shallow water equations
MATEC Web of Conferences, 2017 This article focuses on the application of the meshless local Petrov-Galerkin (MLPG) method to solve the shallow water equations (SWE). This localized approach is based on the meshless weak formulation with the use of radial-basis functions (RBF) as the ...
Mužík Juraj, Holičková Martina
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Analysis of Two Dimensional Steady-State Heat Conduction Problems by MLPG Method [PDF]
International Journal of Advanced Design and Manufacturing Technology, 2011 Numerical solutions obtained by the Meshless local Petrov–Galerkin (MLPG) method are presented for two-dimensional steady-state heat conduction problems.
GholamHosein Baradaran +1 more
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