Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations

Jacobi Spectral Galerkin Method for Distributed-Order Fractional Rayleigh–Stokes Problem for a Generalized Second Grade Fluid

(2020) Ramy M. Hafez et al.   Frontiers in Physics

A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions

(2020) Rumeng Zheng et al.   APPLIED MATHEMATICS LETTERS

Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations

(2020) Ahmed S. Hendy et al.   APPLIED NUMERICAL MATHEMATICS

A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

(2019) Hong-lin Liao et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems

(2019) Mahmoud A. Zaky   APPLIED NUMERICAL MATHEMATICS

A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations

(2019) Ahmed S. Hendy et al.   Communications in Nonlinear Science and Numerical Simulation

An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains

(2019) Libo Feng et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Superconvergence of C0-Qk Finite Element Method for Elliptic Equations with Approximated Coefficients

(2019) Hao Li et al.   JOURNAL OF SCIENTIFIC COMPUTING

A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations

(2018) J.E. Macías-Díaz et al.   APPLIED MATHEMATICS AND COMPUTATION

Convergence and stability of compact finite difference method for nonlinear time fractional reaction–diffusion equations with delay

(2018) Lili Li et al.   APPLIED MATHEMATICS AND COMPUTATION

Fractional pseudo-spectral methods for distributed-order fractional PDEs

(2018) Ehsan Kharazmi et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Dissipativity of semilinear time fractional subdiffusion equations and numerical approximations

(2018) Bianru Cheng et al.   APPLIED MATHEMATICS LETTERS

A Crank–Nicolson ADI Galerkin–Legendre spectral method for the two-dimensional Riesz space distributed-order advection–diffusion equation

(2018) Hui Zhang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Error Estimates of Spectral Galerkin Methods for a Linear Fractional Reaction–Diffusion Equation

(2018) Zhongqiang Zhang   JOURNAL OF SCIENTIFIC COMPUTING

On the solution of hyperbolic two-dimensional fractional systems via discrete variational schemes of high order of accuracy

(2018) Ahmed S. Hendy et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Numerical simulation of multi-dimensional distributed-order generalized Schrödinger equations

(2017) A. H. Bhrawy et al.   NONLINEAR DYNAMICS

The locally extrapolated exponential splitting scheme for multi-dimensional nonlinear space-fractional Schrödinger equations

(2017) X. Liang et al.   NUMERICAL ALGORITHMS

Galerkin-Legendre spectral schemes for nonlinear space fractional Schrödinger equation

(2017) Hui Zhang et al.   NUMERICAL ALGORITHMS

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

(2017) Martin Stynes et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations

(2017) Dongfang Li et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Generalized finite difference/spectral Galerkin approximations for the time-fractional telegraph equation

(2017) Ying Wang et al.   Advances in Difference Equations

A fourth-order implicit-explicit scheme for the space fractional nonlinear Schrödinger equations

(2016) A. Q. M. Khaliq et al.   NUMERICAL ALGORITHMS

Galerkin finite element method for nonlinear fractional Schrödinger equations

(2016) Meng Li et al.   NUMERICAL ALGORITHMS

A new difference scheme for the time fractional diffusion equation

(2015) Anatoly A. Alikhanov   JOURNAL OF COMPUTATIONAL PHYSICS

Finite difference method for time-space-fractional Schrödinger equation

(2014) Qun Liu et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

(2014) Fanhai Zeng et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A second order finite difference-spectral method for space fractional diffusion equations

(2013) JianFei Huang et al.   Science China-Mathematics

A priori estimates for solutions of boundary value problems for fractional-order equations

(2010) A. A. Alikhanov   DIFFERENTIAL EQUATIONS