D. Ngo-Cong

Integrated-RBF network method for free vibration analysis of laminated composite plates

This paper presents a new effective radial basis function (RBF) collocation technique for the free vibration analysis of laminated composite plates using the first order shear deformation theory (FSDT). The plates, which can be rectangular and non-rectangular, are simply discretised by means of Cartesian grids. Instead of using conventional differentiated RBFs, integrated RBF networks [1,2,3] are employed on grid lines to approximate the field variables. Several test problems with different geometries, boundary conditions, thickness to length ratios and material properties are considered. The obtained numerical results are in good agreement with existing published results and exact solutions. Numerical results show that the proposed technique is very stable and converges fast with grid refinement.

Moving least square - one dimensional integrated radial basis function networks for time dependent problems

This paper presents a new numerical procedure for time-dependent problems. The partition of unity method is employed to incorporate the moving least square and one-dimensional integrated radial basis function networks techniques in an approach (MLS-1D-IRBFN) that produces a very sparse system matrix and offers as a high order of accuracy as that of global 1D-IRBFN method. Moreover, the proposed approach possesses the Kronecker-

Free vibration analysis of laminated composite plates based on FSDT using one-dimensional IRBFN method

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Local moving least square‐one‐dimensional integrated radial basis function networks technique for incompressible viscous flows

property which helps impose the essential boundary condition in an exact manner. Spatial derivatives are discretised using Cartesian grids and MLS-1D-IRBFN, whereas temporal derivatives are discretised using high-order time-stepping schemes, namely standard

A Numerical Procedure Based on 1D-IRBFN and Local MLS-1D-IRBFN Methods for Fluid-Structure Interaction Analysis

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Higher-order approximation of contaminant transport equation for turbulent channel flows based on centre manifolds and its numerical solution

and fourth-order Runge-Kutta methods. Several numerical examples including two-dimensional diffusion equation, one-dimensional advection-diffusion equation and forced vibration of a beam are considered. Numerical results show that the current methods are highly accurate and efficient in comparison with other published results available in the literature.