Numerical solution of a time-fractional PDE in the electroanalytical chemistry by a local meshless method

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

(2018) Mehdi Dehghan et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

MLSDQ based on RBFs for the free vibrations of laminated composite doubly-curved shells

(2016) Francesco Tornabene et al.   COMPOSITES PART B-ENGINEERING

Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

(2016) Na Zhang et al.   Advances in Applied Mathematics and Mechanics

A meshfree method based on the radial basis functions for solution of two-dimensional fractional evolution equation

(2015) Hadi Roohani Ghehsareh et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

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

(2015) Mehdi Dehghan et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Laurent series based RBF-FD method to avoid ill-conditioning

(2015) Pedro Gonzalez-Rodriguez et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Higher order finite difference method for the reaction and anomalous-diffusion equation

(2014) Changpin Li et al.   APPLIED MATHEMATICAL MODELLING

Regularized symmetric positive definite matrix factorizations for linear systems arising from RBF interpolation and differentiation

(2014) Scott A. Sarra   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

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

(2014) Varun Shankar et al.   JOURNAL OF SCIENTIFIC COMPUTING

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

(2013) Mehdi Dehghan et al.   APPLIED MATHEMATICAL MODELLING

The solitary wave solution of coupled Klein–Gordon–Zakharov equations via two different numerical methods

(2013) Mehdi Dehghan et al.   COMPUTER PHYSICS COMMUNICATIONS

Stable calculation of Gaussian-based RBF-FD stencils

(2012) Bengt Fornberg et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Numerical solution of stokes flow in a circular cavity using mesh-free local RBF-DQ

(2012) S. Soleimani Kutanaei et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Gaussian RBF-FD weights and its corresponding local truncation errors

(2012) Victor Bayona et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere

(2012) Natasha Flyer et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs

(2012) Evan F. Bollig et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation

(2012) Limei Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Multiquadric and its shape parameter—A numerical investigation of error estimate, condition number, and round-off error by arbitrary precision computation

(2011) A.H.-D. Cheng   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Optimal constant shape parameter for multiquadric based RBF-FD method

(2011) Victor Bayona et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Optimal variable shape parameter for multiquadric based RBF-FD method

(2011) Victor Bayona et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Radial basis function approximation methods with extended precision floating point arithmetic

(2010) Scott A. Sarra   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

An enriched radial point interpolation method (e-RPIM) for analysis of crack tip fields

(2010) Y.T. Gu et al.   ENGINEERING FRACTURE MECHANICS

RBF-FD formulas and convergence properties

(2010) Victor Bayona et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Stabilization of RBF-generated finite difference methods for convective PDEs

(2010) Bengt Fornberg et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A compact finite difference scheme for the fractional sub-diffusion equations

(2010) Guang-hua Gao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A new operational matrix for solving fractional-order differential equations

(2009) Abbas Saadatmandi et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Numerical simulation of two-dimensional combustion using mesh-free methods

(2009) Edward J. Kansa et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Computational algorithms for computing the fractional derivatives of functions

(2009) Zaid M. Odibat   MATHEMATICS AND COMPUTERS IN SIMULATION

A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions

(2008) Mehdi Dehghan et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Numerical solutions for fractional reaction–diffusion equations

(2007) Boris Baeumer et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS