Results 21 to 30 of about 637 (177)
A local meshless radial basis functions based method for solving fractional integral equations [PDF]
Computational Algorithms and Numerical Dimensions, 2023 This paper presents a Localized Radial Basis Functions Collocation Method (LRBFCM) for numerically solving one and 2-dimensional Fractional Integral Equations (2D-FIEs).
Mehdi Radmanesh, Mohammad Ebadi
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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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Mathematics, 2020 In this article, we propose a localized transform based meshless method for approximating the solution of the 2D multi-term partial integro-differential equation involving the time fractional derivative in Caputo’s sense with a weakly singular kernel ...
Kamran Kamran +3 more
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Meshless local Petrov-Galerkin method for rotating Rayleigh beam using Chebyshev and Legendre polynomials [PDF]
Archive of Mechanical Engineering, 2022 The numerical solutions are obtained for rotating beams; the inclusion of centrifugal force term makes it difficult to get the analytical solutions. In this paper, we solve the free vibration problem of rotating Rayleigh beam using Chebyshev and Legendre
Vijay Panchore
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Numerical Simulation of Partial Differential Equations via Local Meshless Method [PDF]
Symmetry, 2019 In this paper, numerical simulation of one, two and three dimensional partial differential equations (PDEs) are obtained by local meshless method using radial basis functions (RBFs). Both local and global meshless collocation procedures are used for spatial discretization, which convert the given PDEs into a system of ODEs.
Imtiaz Ahmad +5 more
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Ain Shams Engineering Journal, 2016 In this paper, the meshless local radial point interpolation (MLRPI) method is applied to one-dimensional inverse heat conduction problems. The meshless LRPIM is one of the truly meshless methods since it does not require any background integration cells.
Elyas Shivanian +1 more
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Numerical Simulation of PDEs by Local Meshless Differential Quadrature Collocation Method [PDF]
Symmetry, 2019 In this paper, a local meshless differential quadrature collocation method based on radial basis functions is proposed for the numerical simulation of one-dimensional Klein–Gordon, two-dimensional coupled Burgers’, and regularized long wave equations.
Imtiaz Ahmad +4 more
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A meshless Galerkin method for non-local diffusion using localized kernel bases
Mathematics of Computation, 2018 We introduce a meshless method for solving both continuous and discrete variational formulations of a volume constrained, non-local diffusion problem. We use the discrete solution to approximate the continuous solution. Our method is non-conforming and uses a localized Lagrange basis that is constructed out of radial basis functions.
R. B. Lehoucq +3 more
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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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Generalized Finite Difference Method for Plate Bending Analysis of Functionally Graded Materials
Mathematics, 2020 In this paper, an easy-to-implement domain-type meshless method—the generalized finite difference method (GFDM)—is applied to simulate the bending behavior of functionally graded (FG) plates.
Yu-Dong Li, Zhuo-Chao Tang, Zhuo-Jia Fu
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