Combination of finite difference method and meshless method based on radial basis functions to solve fractional stochastic advection–diffusion equations

Using radial basis functions to solve two dimensional linear stochastic integral equations on non-rectangular domains

(2018) Farshid Mirzaee et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Numerical solution of two-dimensional weakly singular stochastic integral equations on non-rectangular domains via radial basis functions

(2018) Nasrin Samadyar et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Application of orthonormal Bernstein polynomials to construct a efficient scheme for solving fractional stochastic integro-differential equation

(2017) Farshid Mirzaee et al.   OPTIK

Numerical solution of stochastic elliptic partial differential equations using the meshless method of radial basis functions

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

The modified dual reciprocity boundary elements method and its application for solving stochastic partial differential equations

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

Meshless simulation of stochastic advection–diffusion equations based on radial basis functions

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

The automatic solution of partial differential equations using a global spectral method

(2015) Alex Townsend et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Spectral Legendre–Gauss–Lobatto Collocation Method for a Space-Fractional Advection Diffusion Equations with Variable Coefficients

(2014) A.H. Bhrawy et al.   REPORTS ON MATHEMATICAL PHYSICS

A Finite Volume Ventcell-Schwarz Algorithm for Advection-Diffusion Equations

(2014) Laurence Halpern et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

The Sinc–Legendre collocation method for a class of fractional convection–diffusion equations with variable coefficients

(2012) Abbas Saadatmandi et al.   Communications in Nonlinear Science and Numerical Simulation

A radial basis function approach to compute the first-passage probability density function in two-dimensional jump-diffusion models for financial and other applications

(2012) Luca Vincenzo Ballestra et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

A local integral equation formulation to solve coupled nonlinear reaction–diffusion equations by using moving least square approximation

(2012) Ahmad Shirzadi et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Approximation of stochastic partial differential equations by a kernel-based collocation method

(2012) Igor Cialenco et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Spectral collocation method for stochastic Burgers equation driven by additive noise

(2012) Minoo Kamrani et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Computing the survival probability density function in jump-diffusion models: A new approach based on radial basis functions

(2011) Luca Vincenzo Ballestra et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method

(2011) P. Zhuang et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A fast characteristic finite difference method for fractional advection–diffusion equations

(2010) Kaixin Wang et al.   ADVANCES IN WATER RESOURCES

The meshless local Petrov–Galerkin (MLPG) method for the generalized two-dimensional non-linear Schrödinger equation

(2008) Mehdi Dehghan et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Numerical solution of the nonlinear Klein–Gordon equation using radial basis functions

(2008) Mehdi Dehghan et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS