A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov–Rubenchik equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125787 ◽

2021 ◽

Vol 394 ◽

pp. 125787

Author(s):

Ömer Oruç

Keyword(s):

Numerical Simulation ◽

Finite Difference ◽

Radial Basis Function ◽

Basis Function ◽

Low Frequency ◽

Radial Basis ◽

Low Frequency Waves

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Corrigendum to ‘A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov-Rubenchik equations’ [Applied Mathematics and Computation 394 (2021) 125787]

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126852 ◽

2021 ◽

pp. 126852

Author(s):

Ömer Oruç

Keyword(s):

Numerical Simulation ◽

Finite Difference ◽

Radial Basis Function ◽

Basis Function ◽

Applied Mathematics ◽

Low Frequency ◽

Radial Basis ◽

Low Frequency Waves

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Numerical simulation and applications of the convection–diffusion–reaction equation with the radial basis function in a finite-difference mode

The Journal of Computational Finance ◽

10.21314/jcf.2020.382 ◽

2020 ◽

Author(s):

Reza Mollapourasl ◽

Majid Haghi ◽

Alfa Heryudono

Keyword(s):

Numerical Simulation ◽

Finite Difference ◽

Radial Basis Function ◽

Basis Function ◽

Diffusion Reaction ◽

Reaction Equation ◽

Convection Diffusion ◽

Radial Basis ◽

Difference Mode

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A Hermite radial basis function collocation approach for the numerical simulation of crystallization processes in a channel

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.801 ◽

2005 ◽

Vol 22 (2) ◽

pp. 119-135 ◽

Author(s):

A. La Rocca ◽

H. Power

Keyword(s):

Numerical Simulation ◽

Radial Basis Function ◽

Basis Function ◽

Radial Basis ◽

Collocation Approach

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On a high-order Gaussian radial basis function generated Hermite finite difference method and its application

CALCOLO ◽

10.1007/s10092-021-00443-4 ◽

2021 ◽

Vol 58 (4) ◽

Author(s):

Fazlollah Soleymani ◽

Shengfeng Zhu

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Radial Basis Function ◽

Basis Function ◽

Difference Method ◽

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Numerical investigation based on radial basis function–finite-difference (RBF–FD) method for solving the Stokes–Darcy equations

Engineering With Computers ◽

10.1007/s00366-019-00863-5 ◽

2019 ◽

Author(s):

Mansour Safarpoor ◽

Ahmad Shirzadi

Keyword(s):

Finite Difference ◽

Radial Basis Function ◽

Numerical Investigation ◽

Basis Function ◽

Radial Basis ◽

Darcy Equations

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Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection–diffusion equation

Engineering With Computers ◽

10.1007/s00366-019-00861-7 ◽

2019 ◽

Author(s):

Mostafa Abbaszadeh ◽

Mehdi Dehghan

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Radial Basis Function ◽

Basis Function ◽

Finite Difference Technique ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Radial Basis ◽

Distributed Order

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The overlapped radial basis function-finite difference (RBF-FD) method: A generalization of RBF-FD

Journal of Computational Physics ◽

10.1016/j.jcp.2017.04.037 ◽

2017 ◽

Vol 342 ◽

pp. 211-228 ◽

Author(s):

Varun Shankar

Keyword(s):

Finite Difference ◽

Radial Basis Function ◽

Basis Function ◽

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A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces

SIAM Journal on Scientific Computing ◽

10.1137/16m1095457 ◽

2017 ◽

Vol 39 (5) ◽

pp. A2129-A2151 ◽

Author(s):

Erik Lehto ◽

Varun Shankar ◽

Grady B. Wright

Keyword(s):

Finite Difference ◽

Radial Basis Function ◽

Basis Function ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Compact Finite Difference ◽

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Numerical simulation and analysis of an electroactuated beam using a radial basis function

Smart Materials and Structures ◽

10.1088/0964-1726/14/6/009 ◽

2005 ◽

Vol 14 (6) ◽

pp. 1163-1171 ◽

Author(s):

Y Liu ◽

K M Liew ◽

Y C Hon ◽

X Zhang

Keyword(s):

Numerical Simulation ◽

Radial Basis Function ◽

Basis Function ◽

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A Least Squares Radial Basis Function Finite Difference Method with Improved Stability Properties

SIAM Journal on Scientific Computing ◽

10.1137/20m1320079 ◽

2021 ◽

Vol 43 (2) ◽

pp. A1441-A1471

Author(s):

Igor Tominec ◽

Elisabeth Larsson ◽

Alfa Heryudono

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Radial Basis Function ◽

Least Squares ◽

Basis Function ◽

Difference Method ◽

Stability Properties ◽

Radial Basis ◽

Improved Stability

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