Results 81 to 90 of about 16,295,354 (199)
A New Method of Solving the Time-Fractional Mixed Nonlinear Diffusion and Diffusion-Wave Equation
Fractal and FractionalIt is well known that meshless methods are effective for solving fractional differential equations on both regular and irregular domains. However, many commonly used basis functions such as Legendre wavelets and B-splines are naturally defined on ...
Hong Du, Zhong Chen, Tiejun Yang
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Simulation of the acoustic wave propagation using a meshless method
EPJ Web of Conferences, 2017 This paper presents numerical simulations of the acoustic wave propagation phenomenon modelled via Linearized Euler equations. A meshless method based on collocation of the strong form of the equation system is adopted.
Bajko J. +3 more
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Alexandria Engineering Journal, 2018 The current work presents a computational scheme to solve weakly singular integral equations of the second kind. The discrete collocation method in addition to the moving least squares (MLS) technique established on scattered points is utilized to ...
Pouria Assari
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Meshless Local Petrov-Galerkin Method for Plane Piezoelectricity
Computers, Materials & Continua, 2006 Piezoelectric materials have wide range engineering applications in smart structures and devices. They have usually anisotropic properties. Except this complication electric and mechanical fields are coupled each other and the governing equations are much more complex than that in the classical elasticity. Thus, efficient computational methods to solve
J. Sladek +4 more
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A Local Meshless Method for Approximating 3D Wind Fields
Journal of Applied Meteorology and Climatology, 2016 AbstractAn efficient, mesh-free numerical method has been developed for creating 3D wind fields using data from meteorological towers. Node points are placed within a region of interest, generally based upon topological features. Since meshless methods do not require connective mesh generation, storage is greatly reduced, permitting implementation of ...
Darrell W. Pepper, Jiajia Waters
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Mathematics, 2017 This study aimed at investigating a local radial basis function collocation method (LRBFCM) in the reproducing kernel Hilbert space. This method was, in fact, a meshless one which applied the local sub-clusters of domain nodes for the approximation of ...
Hananeh Nojavan +2 more
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Moving Finite Element Method-a Local Meshless Formulation
International Conference on Computational & Experimental Engineering and Sciences, 2019 A novel discretization method is proposed and developed for numerical solution of boundary value problems governed by partial differential equations. In contrast to the standard Finite Element Method (FEM), the analyzed domain is not covered by a mesh of fixed non-overlapping finite elements, but only a net of nodes is used for discretization.
V. Sladek, M. Repka, J.Sladek
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Algorithms and technologies for photonic crystal modelling
, 2009 In this thesis an investigation into the behaviour of light when passing through photonic crystals was carried out using numerical methods. Photonic crystals are expensive and difficult to fabricate so there is a requirement for computer simulations that
Hart, Elizabeth E.
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Meshless Local Petrov-Galerkin Method– Steady, Non-Isothermal Fluid Flow Applications
International Journal of Industrial Engineering and Production Research, 2007 : The meshless local Petrov-Galerkin method with unity as the weighting function has been applied to the solution of the Navier-Stokes and energy equations.
A. Arefmanesh, M. Najafi, H. Abdi
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Nonlinear EngineeringFractional diffusion partial differential equation (PDE) models are used to describe anomalous transport phenomena in fractal porous media, where traditional diffusion models may not be applicable due to the presence of long-range dependencies and non ...
Ahmad Imtiaz +4 more
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