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

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

Get full-text (via PubEx)

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 ◽

Cited By ~ 2

Author(s):

Mansour Safarpoor ◽

Ahmad Shirzadi

Keyword(s):

Finite Difference ◽

Radial Basis Function ◽

Numerical Investigation ◽

Basis Function ◽

Radial Basis ◽

Darcy Equations

Get full-text (via PubEx)

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 ◽

Cited By ~ 10

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

Get full-text (via PubEx)

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

Get full-text (via PubEx)

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

Get full-text (via PubEx)

Implementation of a scalable, performance portable shallow water equation solver using radial basis function-generated finite difference methods

The International Journal of High Performance Computing Applications ◽

10.1177/1094342018797170 ◽

2018 ◽

Vol 33 (4) ◽

pp. 619-631

Author(s):

Samuel Elliott ◽

Raghu Raj Prasanna Kumar ◽

Natasha Flyer ◽

Tuan Ta ◽

Richard Loft

Keyword(s):

Finite Difference ◽

Radial Basis Function ◽

Shallow Water ◽

Basis Function ◽

Shallow Water Equation ◽

Finite Difference Methods ◽

Radial Basis ◽

Difference Methods

Get full-text (via PubEx)

Analysis of Homogeneous Waveguides via the Meshless Radial Basis Function-Generated-Finite-Difference Method

IEEE Microwave and Wireless Components Letters ◽

10.1109/lmwc.2019.2959450 ◽

2020 ◽

Vol 30 (3) ◽

pp. 229-232

Author(s):

Jose A. Pereda ◽

Ana Grande

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Radial Basis Function ◽

Basis Function ◽

Difference Method ◽

Radial Basis

Get full-text (via PubEx)

A radial basis function — Hermite finite difference approach to tackle cash-or-nothing and asset-or-nothing options

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112523 ◽

2020 ◽

Vol 368 ◽

pp. 112523

Author(s):

Yin Yang ◽

Fazlollah Soleymani ◽

Mahdiar Barfeie ◽

Emran Tohidi

Keyword(s):

Finite Difference ◽

Radial Basis Function ◽

Basis Function ◽

Radial Basis ◽

Finite Difference Approach

Get full-text (via PubEx)

An Investigation of Radial Basis Function-Finite Difference (RBF-FD) Method for Numerical Solution of Elliptic Partial Differential Equations

Mathematics ◽

10.3390/math5040054 ◽

2017 ◽

Vol 5 (4) ◽

pp. 54 ◽

Cited By ~ 7

Author(s):

Suranon Yensiri ◽

Ruth Skulkhu

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Radial Basis Function ◽

Numerical Solution ◽

Basis Function ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Radial Basis

Get full-text (via PubEx)

Solving an eigenvalue problem on a periodic domain using a radial basis function finite difference scheme

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2013.08.018 ◽

2013 ◽

Vol 37 (12) ◽

pp. 1594-1601 ◽

Cited By ~ 2

Author(s):

N.S. O'Brien ◽

K. Djidjeli ◽

S.J. Cox

Keyword(s):

Finite Difference ◽

Eigenvalue Problem ◽

Difference Scheme ◽

Radial Basis Function ◽

Basis Function ◽

Finite Difference Scheme ◽

Periodic Domain ◽

Radial Basis

Get full-text (via PubEx)