An upwind local radial basis functions-differential quadrature (RBFs-DQ) technique to simulate some models arising in water sciences

2007 ◽

Vol 53 (6) ◽

pp. 969-984 ◽

Cited By ~ 46

Author(s):

C. Shu ◽

Y. L. Wu

Keyword(s):

Radial Basis Functions ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Basis Functions ◽

Quadrature Method ◽

Radial Basis

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Radial Basis Functions Based Differential Quadrature Method for One Dimensional Heat Equation

American Journal of Mathematical and Computer Modelling ◽

10.11648/j.ajmcm.20210602.12 ◽

2021 ◽

Vol 6 (2) ◽

pp. 35

Author(s):

Kedir Aliy ◽

Alemayehu Shiferaw ◽

Hailu Muleta

Keyword(s):

Heat Equation ◽

Radial Basis Functions ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Basis Functions ◽

Quadrature Method ◽

One Dimensional ◽

Radial Basis

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LOCALIZED RADIAL BASIS FUNCTIONS AND DIFFERENTIAL QUADRATURE-MESHLESS METHOD FOR SIMULATING COMPRESSIBLE FLOWS

Computational Thermal Sciences An International Journal ◽

10.1615/computthermalscien.2019025846 ◽

2019 ◽

Vol 11 (5) ◽

pp. 401-422

Author(s):

Ebrahim Nabizadeh ◽

Darrell W. Pepper

Keyword(s):

Radial Basis Functions ◽

Meshless Method ◽

Compressible Flows ◽

Differential Quadrature ◽

Basis Functions ◽

Radial Basis

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An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2017.10.004 ◽

2018 ◽

Vol 92 ◽

pp. 244-256 ◽

Cited By ~ 25

Author(s):

Mehdi Dehghan ◽

Mostafa Abbaszadeh

Keyword(s):

Euler Equation ◽

Proper Orthogonal Decomposition ◽

Radial Basis Functions ◽

Orthogonal Decomposition ◽

Differential Quadrature ◽

Basis Functions ◽

Compressible Euler Equation ◽

Compressible Euler ◽

Radial Basis ◽

Proper Orthogonal

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Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method

Applied Mathematical Modelling ◽

10.1016/j.apm.2013.03.054 ◽

2013 ◽

Vol 37 (18-19) ◽

pp. 8578-8599 ◽

Cited By ~ 75

Author(s):

Mehdi Dehghan ◽

Ahmad Nikpour

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Collocation Method ◽

Radial Basis Functions ◽

Boundary Value ◽

Second Order ◽

Differential Quadrature ◽

Basis Functions ◽

Radial Basis

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Solution of multi-dimensional Klein–Gordon–Zakharov and Schrödinger/Gross–Pitaevskii equations via local Radial Basis Functions–Differential Quadrature (RBF–DQ) technique on non-rectangular computational domains

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2017.10.016 ◽

2018 ◽

Vol 92 ◽

pp. 156-170 ◽

Cited By ~ 15

Author(s):

Mehdi Dehghan ◽

Mostafa Abbaszadeh

Keyword(s):

Radial Basis Functions ◽

Differential Quadrature ◽

Basis Functions ◽

Radial Basis ◽

Klein Gordon

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Radial basis functions based on differential quadrature method for the free vibration analysis of laminated composite arbitrarily shaped plates

Composites Part B Engineering ◽

10.1016/j.compositesb.2015.03.027 ◽

2015 ◽

Vol 78 ◽

pp. 65-78 ◽

Cited By ~ 63

Author(s):

Nicholas Fantuzzi ◽

Michele Bacciocchi ◽

Francesco Tornabene ◽

Erasmo Viola ◽

Antonio J.M. Ferreira

Keyword(s):

Free Vibration ◽

Radial Basis Functions ◽

Vibration Analysis ◽

Differential Quadrature Method ◽

Laminated Composite ◽

Free Vibration Analysis ◽

Differential Quadrature ◽

Basis Functions ◽

Quadrature Method ◽

Radial Basis

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The numerical solution of Cahn–Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2014.10.008 ◽

2015 ◽

Vol 51 ◽

pp. 74-100 ◽

Cited By ~ 43

Author(s):

Mehdi Dehghan ◽

Vahid Mohammadi

Keyword(s):

Numerical Solution ◽

Radial Basis Functions ◽

Differential Quadrature ◽

Basis Functions ◽

Three Dimensions ◽

Radial Basis

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Radial basis functions-differential quadrature collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to Murakami’s Zig-Zag theory

Computers & Structures ◽

10.1016/j.compstruc.2011.10.003 ◽

2012 ◽

Vol 90-91 ◽

pp. 107-115 ◽

Cited By ~ 23

Author(s):

J.D. Rodrigues ◽

C.M.C. Roque ◽

A.J.M. Ferreira ◽

M. Cinefra ◽

E. Carrera

Keyword(s):

Radial Basis Functions ◽

Buckling Analysis ◽

Laminated Plates ◽

Differential Quadrature ◽

Basis Functions ◽

Bending Vibration ◽

Radial Basis

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A Sequential Optimization Approach for Honeycomb Crashworthiness using Radial Basis Functions

10.26678/abcm.mecsol2019.msl19-0027 ◽

2019 ◽

Author(s):

Matheus Rodrigues ◽

Marco Antonio Luersen

Keyword(s):

Radial Basis Functions ◽

Basis Functions ◽

Sequential Optimization ◽

Optimization Approach ◽

Radial Basis

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An upwind local radial basis functions-differential quadrature (RBFs-DQ) technique to simulate some models arising in water sciences

Integrated radial basis functions-based differential quadrature method and its performance

Radial Basis Functions Based Differential Quadrature Method for One Dimensional Heat Equation

LOCALIZED RADIAL BASIS FUNCTIONS AND DIFFERENTIAL QUADRATURE-MESHLESS METHOD FOR SIMULATING COMPRESSIBLE FLOWS

An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation

Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method

Solution of multi-dimensional Klein–Gordon–Zakharov and Schrödinger/Gross–Pitaevskii equations via local Radial Basis Functions–Differential Quadrature (RBF–DQ) technique on non-rectangular computational domains

Radial basis functions based on differential quadrature method for the free vibration analysis of laminated composite arbitrarily shaped plates

The numerical solution of Cahn–Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods

Radial basis functions-differential quadrature collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to Murakami’s Zig-Zag theory

A Sequential Optimization Approach for Honeycomb Crashworthiness using Radial Basis Functions

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