Rayleigh–Stokes problem for a heated generalized second grade fluid with fractional derivatives: a stable scheme based on spectral meshless radial point interpolation

The local radial point interpolation meshless method for solving Maxwell equations

(2017) Mehdi Dehghan et al.   ENGINEERING WITH COMPUTERS

Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs

(2016) Mehdi Dehghan et al.   APPLICABLE ANALYSIS

Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation

(2016) Mehdi Dehghan et al.   APPLIED MATHEMATICAL MODELLING

Chua's circuit model with Atangana–Baleanu derivative with fractional order

(2016) Badr Saad T. Alkahtani   CHAOS SOLITONS & FRACTALS

More accurate results for nonlinear generalized Benjamin-Bona-Mahony-Burgers (GBBMB) problem through spectral meshless radial point interpolation (SMRPI)

(2016) Elyas Shivanian et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

A finite element method for the numerical solution of Rayleigh–Stokes problem for a heated generalized second grade fluid with fractional derivatives

(2016) Mehdi Dehghan et al.   ENGINEERING WITH COMPUTERS

A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction

(2016) Wen Chen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

(2016) Abdon Atangana et al.   Thermal Science

A Boundary Meshless Method for Solving Heat Transfer Problems Using the Fourier Transform

(2016) A. Tadeu et al.   Advances in Applied Mathematics and Mechanics

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

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

A new spectral meshless radial point interpolation (SMRPI) method: A well-behaved alternative to the meshless weak forms

(2015) Elyas Shivanian   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Local integration of 2-D fractional telegraph equation via moving least squares approximation

(2015) Elyas Shivanian et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Meshless local Petrov–Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation

(2015) E. Shivanian   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

On the convergence analysis, stability, and implementation of meshless local radial point interpolation on a class of three-dimensional wave equations

(2015) Elyas Shivanian   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A local meshless method for Cauchy problem of elliptic PDEs in annulus domains

(2015) Ahmad Shirzadi et al.   INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

Implicit local radial basis function method for solving two-dimensional time fractional diffusion equations

(2015) Song Wei et al.   Thermal Science

Nonlinear fractional integro-differential reaction-diffusion equation via radial basis functions

(2015) Mohammad Aslefallah et al.   European Physical Journal Plus

Local integration of 2-D fractional telegraph equation via local radial point interpolant approximation

(2015) Vahid Reza Hosseini et al.   European Physical Journal Plus

Solving PDEs with radial basis functions

(2015) Bengt Fornberg et al.   ACTA NUMERICA

A comparison study of meshfree techniques for solving the two-dimensional linear hyperbolic telegraph equation

(2014) S. Abbasbandy et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Compact finite difference scheme and RBF meshless approach for solving 2D Rayleigh–Stokes problem for a heated generalized second grade fluid with fractional derivatives

(2013) Akbar Mohebbi et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Analysis of meshless local radial point interpolation (MLRPI) on a nonlinear partial integro-differential equation arising in population dynamics

(2013) Elyas Shivanian   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method

(2013) Akbar Mohebbi et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term

(2013) Akbar Mohebbi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An improved complex variable element-free Galerkin method for two-dimensional elasticity problems

(2012) Fu-Nong Bai et al.   Chinese Physics B

Boundary particle method for Laplace transformed time fractional diffusion equations

(2012) Zhuo-Jia Fu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Recent history of fractional calculus

(2010) J. Tenreiro Machado et al.   Communications in Nonlinear Science and Numerical Simulation

The complex variable element-free Galerkin (CVEFG) method for elasto-plasticity problems

(2010) Miaojuan Peng et al.   ENGINEERING STRUCTURES

Coupling three-field formulation and meshless mixed Galerkin methods using radial basis functions

(2010) Abdeljalil Fili et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Finite difference/spectral approximations for the fractional cable equation

(2010) Yumin Lin et al.   MATHEMATICS OF COMPUTATION

Finite difference methods and their physical constraints for the fractional klein-kramers equation

(2010) Weihua Deng et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Numerical method of Rayleigh-Stokes problem for heated generalized second grade fluid with fractional derivative

(2009) Ping-hui Zhuang et al.   APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)

(2009) Mehdi Dehghan et al.   COMPUTER PHYSICS COMMUNICATIONS

Fractional diffusion equations by the Kansa method

(2009) Wen Chen et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Compact finite difference method for the fractional diffusion equation

(2009) Mingrong Cui   JOURNAL OF COMPUTATIONAL PHYSICS

Meshless Local Petrov–Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity

(2008) Mehdi Dehghan et al.   APPLIED NUMERICAL MATHEMATICS