Numerical Solution of the Time-Fractional Sub-Diffusion Equation on an Unbounded Domain in Two-Dimensional Space

Fast parareal iterations for fractional diffusion equations

(2017) Shu-Lin Wu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A linear finite difference scheme for generalized time fractional Burgers equation

(2016) Dongfang Li et al.   APPLIED MATHEMATICAL MODELLING

A Second-Order Finite Difference Method for Two-Dimensional Fractional Percolation Equations

(2016) Boling Guo et al.   Communications in Computational Physics

Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain

(2016) Dongfang Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical Solution to the Multi-Term Time Fractional Diffusion Equation in a Finite Domain

(2016) Gongsheng Li et al.   Numerical Mathematics-Theory Methods and Applications

Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion Equations

(2015) Xiao-Qing Jin et al.   Communications in Computational Physics

Local artificial boundary conditions for Schrödinger and heat equations by using high-order azimuth derivatives on circular artificial boundary

(2014) Hongwei Li et al.   COMPUTER PHYSICS COMMUNICATIONS

Obtaining artificial boundary conditions for fractional sub-diffusion equation on space two-dimensional unbounded domains

(2014) Rezvan Ghaffari et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain

(2014) Hermann Brunner et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Discrete transparent boundary conditions for the Schrödinger equation on circular domains

(2013) Anton Arnold et al.   Communications in Mathematical Sciences

A Kansa-type MFS scheme for two-dimensional time fractional diffusion equations

(2013) Liang Yan et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation

(2013) Xuehua Yang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

(2013) Guang-hua Gao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A semi-discrete finite element method for a class of time-fractional diffusion equations

(2013) H. Sun et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations

(2013) Bangti Jin et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain

(2012) Guang-hua Gao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation

(2012) Mingrong Cui   NUMERICAL ALGORITHMS

An implicit RBF meshless approach for time fractional diffusion equations

(2011) Q. Liu et al.   COMPUTATIONAL MECHANICS

Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation

(2011) Ya-nan Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical Blow-up of Semilinear Parabolic PDEs on Unbounded Domains in ℝ2

(2011) Jiwei Zhang et al.   JOURNAL OF SCIENTIFIC COMPUTING

A Fast Time Stepping Method for Evaluating Fractional Integrals

(2010) Jing-Rebecca Li   SIAM JOURNAL ON SCIENTIFIC COMPUTING