Numerical Algorithm With High Spatial Accuracy for the Fractional Diffusion-Wave Equation With Neumann Boundary Conditions

Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

(2012) H. Jiang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions

(2012) Jincheng Ren et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation

(2012) Ya-nan Zhang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion

(2011) Changpin Li et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A box-type scheme for fractional sub-diffusion equation with Neumann boundary conditions

(2011) Xuan Zhao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

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

Compact alternating direction implicit method for two-dimensional time fractional diffusion equation

(2011) Mingrong Cui   JOURNAL OF COMPUTATIONAL PHYSICS

A three level linearized compact difference scheme for the Cahn-Hilliard equation

(2011) Juan Li et al.   Science China-Mathematics

Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation

(2011) Ya-nan Zhang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A compact difference scheme for the fractional diffusion-wave equation

(2010) R. Du et al.   APPLIED MATHEMATICAL MODELLING

An Explicit Difference Method for Solving Fractional Diffusion and Diffusion-Wave Equations in the Caputo Form

(2010) Joaquín Quintana Murillo et al.   Journal of Computational and Nonlinear Dynamics

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

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

Stability and convergence of an implicit numerical method for the non-linear fractional reaction-subdiffusion process

(2009) P. Zhuang et al.   IMA JOURNAL OF APPLIED MATHEMATICS

Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term

(2009) F. Liu et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Signaling problem for time-fractional diffusion-wave equation in a half-space in the case of angular symmetry

(2009) Yuriy Povstenko   NONLINEAR DYNAMICS

Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation

(2009) Chang-Ming Chen et al.   NUMERICAL ALGORITHMS

Compact difference schemes for heat equation with Neumann boundary conditions

(2009) Zhi-Zhong Sun   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

On three explicit difference schemes for fractional diffusion and diffusion-wave equations

(2009) Joaquín Quintana Murillo et al.   PHYSICA SCRIPTA

A Space-Time Spectral Method for the Time Fractional Diffusion Equation

(2009) Xianjuan Li et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS