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 stable Gaussian radial basis function method for solving nonlinear unsteady convection–diffusion–reaction equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.12.007 ◽

2018 ◽

Vol 75 (5) ◽

pp. 1831-1850 ◽

Author(s):

J. Rashidinia ◽

M. Khasi ◽

G.E. Fasshauer

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Function Method ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Radial Basis ◽

Reaction Equations ◽

Radial Basis Function Method

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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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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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A meshless radial basis function method for steady-state advection-diffusion-reaction equation in arbitrary 2D domains

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2017.03.004 ◽

2017 ◽

Vol 79 ◽

pp. 49-61 ◽

Author(s):

S.Y. Reutskiy ◽

Ji Lin

Keyword(s):

Steady State ◽

Radial Basis Function ◽

Basis Function ◽

Function Method ◽

Diffusion Reaction ◽

Reaction Equation ◽

Advection Diffusion ◽

Radial Basis ◽

Radial Basis Function Method

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Local radial basis function interpolation method to simulate 2D fractional-time convection-diffusion-reaction equations with error analysis

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22135 ◽

2017 ◽

Vol 33 (3) ◽

pp. 974-994 ◽

Author(s):

Elyas Shivanian

Keyword(s):

Error Analysis ◽

Radial Basis Function ◽

Basis Function ◽

Interpolation Method ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Radial Basis Function Interpolation ◽

Radial Basis ◽

Reaction Equations

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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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An Upwind Scheme to Solve Unsteady Convection-Diffusion Equations Using Radial Basis Function Based Local Hermitian Interpolation Method with PDE Centres

Procedia Engineering ◽

10.1016/j.proeng.2015.11.390 ◽

2015 ◽

Vol 127 ◽

pp. 418-423 ◽

Author(s):

K. Monysekar ◽

Y.V.S.S. Sanyasiraju

Keyword(s):

Radial Basis Function ◽

Basis Function ◽

Interpolation Method ◽

Upwind Scheme ◽

Diffusion Equations ◽

Convection Diffusion ◽

Radial Basis ◽

Hermitian Interpolation

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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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