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

Erik Lehto; Varun Shankar; Grady B. Wright

doi:10.1137/16m1095457

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 ◽

Cited By ~ 15

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 ◽

Radial Basis

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A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction–Diffusion Equations on Surfaces

Journal of Scientific Computing ◽

10.1007/s10915-014-9914-1 ◽

2014 ◽

Vol 63 (3) ◽

pp. 745-768 ◽

Cited By ~ 67

Author(s):

Varun Shankar ◽

Grady B. Wright ◽

Robert M. Kirby ◽

Aaron L. Fogelson

Keyword(s):

Finite Difference ◽

Radial Basis Function ◽

Basis Function ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Radial Basis

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A radial basis function (RBF) finite difference method for the simulation of reaction-diffusion equations on stationary platelets within the augmented forcing method

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3880 ◽

2014 ◽

Vol 75 (1) ◽

pp. 1-22 ◽

Cited By ~ 18

Author(s):

Varun Shankar ◽

Grady B. Wright ◽

Aaron L. Fogelson ◽

Robert M. Kirby

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Radial Basis Function ◽

Basis Function ◽

Difference Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Radial Basis

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Stability and convergence of radial basis function finite difference method for the numerical solution of the reaction–diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.09.034 ◽

2015 ◽

Vol 271 ◽

pp. 567-580 ◽

Cited By ~ 2

Author(s):

Ahmad Golbabai ◽

Ahmad Nikpour

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Difference Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stability And Convergence

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Efficient compact finite difference methods for a class of time-fractional convection–reaction–diffusion equations with variable coefficients

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1437262 ◽

2018 ◽

Vol 96 (2) ◽

pp. 264-297 ◽

Cited By ~ 10

Author(s):

Yuan-Ming Wang ◽

Lei Ren

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Reaction Diffusion ◽

Variable Coefficients ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Compact Finite Difference ◽

Difference Methods

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Higher-order compact finite difference method for systems of reaction–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.07.052 ◽

2009 ◽

Vol 233 (2) ◽

pp. 502-518 ◽

Cited By ~ 13

Author(s):

Yuan-Ming Wang ◽

Hong-Bo Zhang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Reaction Diffusion ◽

Higher Order ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Compact Finite Difference ◽

Compact Finite Difference Method

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A note on compact finite difference method for reaction–diffusion equations with delay

Applied Mathematical Modelling ◽

10.1016/j.apm.2014.09.028 ◽

2015 ◽

Vol 39 (5-6) ◽

pp. 1749-1754 ◽

Cited By ~ 23

Author(s):

Dongfang Li ◽

Chengjian Zhang ◽

Jinming Wen

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

Equations With Delay

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Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection–diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2018.06.036 ◽

2018 ◽

Vol 372 ◽

pp. 616-639 ◽

Cited By ~ 13

Author(s):

Varun Shankar ◽

Aaron L. Fogelson

Keyword(s):

Finite Difference ◽

Radial Basis Function ◽

Basis Function ◽

Diffusion Equations ◽

Advection Diffusion ◽

Radial Basis

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Tenth Order Compact Finite Difference Method for Solving Singularly Perturbed 1D Reaction - Diffusion Equations

International Journal Of Engineering & Applied Sciences ◽

10.24107/ijeas.255031 ◽

2016 ◽

Vol 8 (3) ◽

pp. 15-15

Author(s):

Fasika Wondimu Galu ◽

Gemechis File Duressa ◽

Tesfaye Aga Bullo

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Compact Finite Difference ◽

Compact Finite Difference Method

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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 ◽

Cited By ~ 1

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 ◽

High Order ◽

Radial Basis

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