A local radial basis function collocation method to solve the variable-order time fractional diffusion equation in a two-dimensional irregular domain

Error bounds of singular boundary method for potential problems

(2017) Junpu Li et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A meshfree local RBF collocation method for anti-plane transverse elastic wave propagation analysis in 2D phononic crystals

(2016) Hui Zheng et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Local radial basis function collocation method for solving thermo-driven fluid-flow problems with free surface

(2015) Yiu-Chung Hon et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Method of approximate particular solutions for constant- and variable-order fractional diffusion models

(2015) Zhuo-Jia Fu et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Second-order approximations for variable order fractional derivatives: Algorithms and applications

(2015) Xuan Zhao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

(2015) Song Wei et al.   Thermal Science

Fractional-order sliding mode based extremum seeking control of a class of nonlinear systems

(2014) Chun Yin et al.   AUTOMATICA

Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation

(2014) A. H. Bhrawy et al.   NONLINEAR DYNAMICS

The localized RBFs collocation methods for solving high dimensional PDEs

(2013) Ming Li et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Assessment of global and local meshless methods based on collocation with radial basis functions for parabolic partial differential equations in three dimensions

(2012) Guangming Yao et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

FINITE DIFFERENCE SCHEMES FOR VARIABLE-ORDER TIME FRACTIONAL DIFFUSION EQUATION

(2012) HONGGUANG SUN et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Boundary particle method for Laplace transformed time fractional diffusion equations

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

A radial basis functions method for fractional diffusion equations

(2012) Cécile Piret et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An implicit RBF meshless approach for time fractional diffusion equations

(2011) Q. Liu et al.   COMPUTATIONAL MECHANICS

A comparative study of constant-order and variable-order fractional models in characterizing memory property of systems

(2011) H.G. Sun et al.   European Physical Journal-Special Topics

A Physical experimental study of variable-order fractional integrator and differentiator

(2011) H. Sheng et al.   European Physical Journal-Special Topics

A fractional porous medium equation

(2010) Arturo de Pablo et al.   ADVANCES IN MATHEMATICS

Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation

(2010) Chang-Ming Chen et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Variable-order fractional derivatives and their numerical approximations

(2010) Duarte Valério et al.   SIGNAL PROCESSING

Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications

(2009) Yong Zhang et al.   ADVANCES IN WATER RESOURCES

Variable-order fractional differential operators in anomalous diffusion modeling

(2009) HongGuang Sun et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

(2009) P. Zhuang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Variable Order Modeling of Diffusive-convective Effects on the Oscillatory Flow Past a Sphere

(2008) H.T.C. Pedro et al.   JOURNAL OF VIBRATION AND CONTROL

Stable and Convergent Unsymmetric Meshless Collocation Methods

(2008) Leevan Ling et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS