DOI10.1007/s11075-012-9689-0zbMath1284.65103OpenAlexW1988087043WikidataQ60155380 ScholiaQ60155380MaRDI QIDQ2636946
Yanyan Li
Publication date: 18 February 2014
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-012-9689-0
Gauss-Lobatto-Legendre-Birkhoff pseudospectral scheme for the time fractional reaction–diffusion equation with Neumann boundary conditions,
Theoretical and numerical analysis of unsteady fractional viscoelastic flows in simple geometries,
A fast solution technique for finite element discretization of the space-time fractional diffusion equation,
Efficient time second-order SCQ formula combined with a mixed element method for a nonlinear time fractional wave model,
Numerical solution of multi-term time fractional wave diffusion equation using transform based local meshless method and quadrature,
Numerical solution of fractional diffusion-wave equation based on fractional multistep method,
A finite difference scheme based on cubic trigonometric B-splines for a time fractional diffusion-wave equation,
Crank-Nicolson ADI Galerkin finite element method for two-dimensional fractional Fitzhugh-Nagumo monodomain model,
Finite element method for two-dimensional space-fractional advection-dispersion equations,
A time-spectral algorithm for fractional wave problems,
Analysis of two Legendre spectral approximations for the variable-coefficient fractional diffusion-wave equation,
A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations,
A second-order \(L2\)-\(1_\sigma\) Crank-Nicolson difference method for two-dimensional time-fractional wave equations with variable coefficients,
A generalized quasi-boundary value method for recovering a source in a fractional diffusion-wave equation,
A new fully discrete finite difference/element approximation for fractional cable equation,
Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations,
Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation,
Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations,
A novel equivalent definition of Caputo fractional derivative without singular kernel and superconvergent analysis,
High Order Difference Schemes for a Time Fractional Differential Equation with Neumann Boundary Conditions,
A structure-preserving method for the distribution of the first hitting time to a moving boundary for some Gaussian processes,
High accuracy analysis of an \(H^1\)-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations,
Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation,
A novel finite difference discrete scheme for the time fractional diffusion-wave equation,
Improving variational iteration method with auxiliary parameter for nonlinear time-fractional partial differential equations,
Mixed finite element algorithm for a nonlinear time fractional wave model,
A unified numerical scheme for the multi-term time fractional diffusion and diffusion-wave equations with variable coefficients,
A two-grid block-centered finite difference method for the nonlinear time-fractional parabolic equation,
Chebyshev-Legendre spectral method and inverse problem analysis for the space fractional Benjamin-Bona-Mahony equation,
A new analytical technique of the \(L\)-type difference schemes for time fractional mixed sub-diffusion and diffusion-wave equations,
An alternating direction implicit compact finite difference scheme for the multi-term time-fractional mixed diffusion and diffusion-wave equation,
A compact finite difference method for a class of time fractional convection-diffusion-wave equations with variable coefficients,
Crank-Nicolson orthogonal spline collocation method combined with WSGI difference scheme for the two-dimensional time-fractional diffusion-wave equation,
Second-order convergent scheme for time-fractional partial differential equations with a delay in time,
The transformed differential quadrature method for solving time-dependent partial differential equations: framework and examples,
A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel,
\(\alpha\)-robust analysis of fast and novel two-grid FEM with nonuniform \(\mathrm{L}1\) scheme for semilinear time-fractional variable coefficient diffusion equations,
Second-order stable finite difference schemes for the time-fractional diffusion-wave equation,
Finite element algorithm with a second‐order shifted composite numerical integral formula for a nonlinear time fractional wave equation,
Analysis of a robust implicit scheme for space–time fractional stochastic nonlinear diffusion wave model,
A new fractional derivative for solving time fractional diffusion wave equation,
Galerkin finite element method for two-dimensional space and time fractional Bloch-Torrey equation,
A finite difference/Kansa method for the two-dimensional time and space fractional Bloch-Torrey equation,
A block‐centered finite difference method for fractional Cattaneo equation,
Efficient methods for nonlinear time fractional diffusion-wave equations and their fast implementations,
Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain,
A meshless local collocation method for time fractional diffusion wave equation,
High-order numerical algorithms for Riesz derivatives via constructing new generating functions,
A space-time finite element method for fractional wave problems,
An alternating direction Galerkin method for a time-fractional partial differential equation with damping in two space dimensions,
An efficient iteration method for Toeplitz-plus-band triangular systems generated from fractional ordinary differential equation,
A numerically efficient variational algorithm to solve a fractional nonlinear elastic string equation,
The development of higher-order numerical differential formulas of Caputo derivative and their applications (I),
A new numerical approach for solving 1D fractional diffusion-wave equation,
On the dissipativity of some Caputo time-fractional subdiffusion models in multiple dimensions: theoretical and numerical investigations,
A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation,
A second order Crank-Nicolson scheme for fractional Cattaneo equation based on new fractional derivative,
A compact locally one-dimensional method for fractional diffusion-wave equations,
High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes,
A second-order finite difference scheme for quasilinear time fractional parabolic equation based on new fractional derivative,
A Crank-Nicolson difference scheme for the time variable fractional mobile-immobile advection-dispersion equation,
Two mixed finite element methods for time-fractional diffusion equations,
Crank-Nicolson WSGI difference scheme with finite element method for multi-dimensional time-fractional wave problem,
Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem,
A second-order BDF compact difference scheme for fractional-order Volterra equation,
Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems,
Unnamed Item,
A linearized high-order Galerkin finite element approach for two-dimensional nonlinear time fractional Klein-Gordon equations,
A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation,
Solving fractional dynamical system with freeplay by combining memory-free approach and precise integration method,
Numerical solution of time-fractional diffusion-wave equations via Chebyshev wavelets collocation method,
High-order compact difference schemes for the modified anomalous subdiffusion equation,
Finite difference schemes for two-dimensional time-space fractional differential equations,
Some temporal second order difference schemes for fractional wave equations,
Space-time finite element method for the distributed-order time fractional reaction diffusion equations,
A unified difference-spectral method for time–space fractional diffusion equations,
Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system,
A parallel CGS block-centered finite difference method for a nonlinear time-fractional parabolic equation,
A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation,
A Compact Difference Scheme for Fourth-Order Temporal Multi-Term Fractional Wave Equations and Maximum Error Estimates,
Spectral approximations for nonlinear fractional delay diffusion equations with smooth and nonsmooth solutions,
Reconstruction of a time-dependent source term in a time-fractional diffusion-wave equation,
A high-order ADI scheme for the two-dimensional time fractional diffusion-wave equation,
An efficient numerical method for a time-fractional telegraph equation,
A non-polynomial numerical scheme for fourth-order fractional diffusion-wave model,
Finite difference and sinc-collocation approximations to a class of fractional diffusion-wave equations,
An implicit MLS meshless method for 2-D time dependent fractional diffusion-wave equation,
A fully discrete spectral scheme for time fractional Cahn-Hilliard equation with initial singularity,
Numerical methods for fractional partial differential equations,
A Petrov–Galerkin spectral method for the linearized time fractional KdV equation,
An efficient computational technique based on cubic trigonometric B-splines for time fractional Burgers' equation,
A fast high-order compact difference method for the fractal mobile/immobile transport equation