DOI10.1016/j.apm.2011.02.036zbMath1221.65257OpenAlexW2033593438MaRDI QIDQ639191
Fawang Liu, Ian W. Turner, Quan-sheng Liu, V. V. Anh
Publication date: 18 September 2011
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2011.02.036
Discrete-time orthogonal spline collocation method for a modified anomalous diffusion equation,
A block-centred finite difference method for the distributed-order differential equation with Neumann boundary condition,
First passage time distribution of a modified fractional diffusion equation in the semi-infinite interval,
Numerical methods for solving a two-dimensional variable-order modified diffusion equation,
A new fourth-order explicit group method in the solution of two-dimensional fractional Rayleigh-Stokes problem for a heated generalized second-grade fluid,
Characterizing time dependent anomalous diffusion process: a survey on fractional derivative and nonlinear models,
Numerical scheme with high order accuracy for solving a modified fractional diffusion equation,
A numerical scheme for the time-fractional diffusion equation by layer potentials,
Finite element method for two-dimensional space-fractional advection-dispersion equations,
A block-centered finite difference method for the distributed-order time-fractional diffusion-wave equation,
A new reliable algorithm based on the sinc function for the time fractional diffusion equation,
Numerical method to modify the fractional-order diffusion equation,
A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations,
An RBF based finite difference method for the numerical approximation of multi-term nonlinear time fractional two dimensional diffusion-wave equation,
A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term,
A modified compact ADI method and its extrapolation for two-dimensional fractional subdiffusion equations,
The dual reciprocity boundary elements method for the linear and nonlinear two-dimensional time-fractional partial differential equations,
A meshfree method based on the radial basis functions for solution of two-dimensional fractional evolution equation,
Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods,
A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations and its efficient implementation,
Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain,
Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation,
A Numerical-Analytical Method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer,
Efficient and Stable Numerical Methods for Multi-Term Time Fractional Sub-Diffusion Equations,
High-order compact difference methods for Caputo-type variable coefficient fractional sub-diffusion equations in conservative form,
DPG method with optimal test functions for a fractional advection diffusion equation,
High-order compact finite volume scheme for the 2D multi-term time fractional sub-diffusion equation,
Superconvergence of finite element approximations for the fractional diffusion-wave equation,
Error estimate of a finite difference method for the nonlinear distributed-ordered diffusion equation on staggered grids,
Numerical simulation with the second order compact approximation of first order derivative for the modified fractional diffusion equation,
Numerical solution of the time fractional reaction-diffusion equation with a moving boundary,
The dimension reduction method of two-grid Crank-Nicolson mixed finite element solution coefficient vectors for nonlinear fourth-order reaction diffusion equation with temporal fractional derivative,
Numerical simulation for conservative fractional diffusion equations by an expanded mixed formulation,
Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation,
Optimal control problem of the two-dimensional modified anomalous subdiffusion equation with discontinuous Galerkin approximation,
A space-time finite element method for fractional wave problems,
An expanded mixed finite element simulation for two-sided time-dependent fractional diffusion problem,
Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion,
A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term,
Modified implicit fractional difference scheme for 2D modified anomalous fractional sub-diffusion equation,
A meshless method for time fractional nonlinear mixed diffusion and diffusion-wave equation,
A compact ADI method and its extrapolation for time fractional sub-diffusion equations with nonhomogeneous Neumann boundary conditions,
Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition,
Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations,
The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation,
Regularity of the solution to 1-D fractional order diffusion equations,
A new variant of B-spline for the solution of modified fractional anomalous subdiffusion equation,
The implicit midpoint method for the modified anomalous sub-diffusion equation with a nonlinear source term,
Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems,
A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation,
Stability and convergence of a finite volume method for the space fractional advection-dispersion equation,
The finite difference/finite volume method for solving the fractional diffusion equation,
Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations,
The dual reciprocity boundary integral equation technique to solve a class of the linear and nonlinear fractional partial differential equations,
A compact LOD method and its extrapolation for two-dimensional modified anomalous fractional sub-diffusion equations,
A novel compact ADI scheme for the time-fractional subdiffusion equation in two space dimensions,
Local RBF-FD technique for solving the two-dimensional modified anomalous sub-diffusion equation,
A high-order \(L2\)-compact difference method for Caputo-type time-fractional sub-diffusion equations with variable coefficients,
The numerical method for the moving boundary problem with space-fractional derivative in drug release devices,
Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval,
Lattice Boltzmann model for time sub-diffusion equation in Caputo sense,
Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension,
A new semi-analytical collocation method for solving multi-term fractional partial differential equations with time variable coefficients,
Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation,
Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains,
Numerical investigation of the nonlinear modified anomalous diffusion process,
Fourier spectral approximation for time fractional Burgers equation with nonsmooth solutions,
A unified difference-spectral method for time–space fractional diffusion equations,
Probability-conservative simulation for \textit{Lévy} financial model by a mixed finite element method,
Finite element method for two-dimensional time-fractional tricomi-type equations,
Numerical solution of time fractional Tricomi-type equation by an RBF based meshless method,
FAST SECOND-ORDER ACCURATE DIFFERENCE SCHEMES FOR TIME DISTRIBUTED-ORDER AND RIESZ SPACE FRACTIONAL DIFFUSION EQUATIONS,
Fourier spectral approximation for generalized time fractional Burgers equation,
A fully discrete spectral scheme for time fractional Cahn-Hilliard equation with initial singularity,
A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation,
Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs,
Numerical methods for fractional partial differential equations