Convergence and superconvergence analysis for nonlinear delay reaction–diffusion system with nonconforming finite element

Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework

(2021) Meng Li et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

A Preconditioning Technique for an All-at-once System from Volterra Subdiffusion Equations with Graded Time Steps

(2021) Yong-Liang Zhao et al.   JOURNAL OF SCIENTIFIC COMPUTING

An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order

(2021) Xian-Ming Gu et al.   APPLIED MATHEMATICS LETTERS

Fast L2-1σ Galerkin FEMs for generalized nonlinear coupled Schrödinger equations with Caputo derivatives

(2021) Meng Li et al.   APPLIED MATHEMATICS AND COMPUTATION

Convergence and superconvergence analysis of finite element methods for the time fractional diffusion equation

(2020) Meng Li et al.   APPLIED NUMERICAL MATHEMATICS

A second-order fast compact scheme with unequal time-steps for subdiffusion problems

(2020) Xin Li et al.   NUMERICAL ALGORITHMS

A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay

(2020) Wansheng Wang et al.   JOURNAL OF SCIENTIFIC COMPUTING

Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?

(2020) Mahmoud A. Zaky et al.   Communications in Nonlinear Science and Numerical Simulation

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

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

Linearized Galerkin FEMs for Nonlinear Time Fractional Parabolic Problems with Non-smooth Solutions in Time Direction

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

Robust stability analysis for fractional-order systems with time delay based on finite spectrum assignment

(2019) Lu Liu et al.   INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL

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

Nonconforming Virtual Element Method for the Time Fractional Reaction–Subdiffusion Equation with Non-smooth Data

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

Novel stability condition for delayed fractional-order composite systems based on vector Lyapunov function

(2019) Zhang Zhe et al.   NONLINEAR DYNAMICS

Superconvergence analysis of finite element method for time-fractional Thermistor problem

(2018) Dongyang Shi 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

Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes

(2018) Z.G. Shi et al.   APPLIED MATHEMATICS AND COMPUTATION

A Posteriori Error Analysis for Crank--Nicolson--Galerkin Type Methods for Reaction-Diffusion Equations with Delay

(2018) Wansheng Wang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator

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

A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient

(2018) Fenling Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

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

A finite difference scheme for semilinear space-fractional diffusion equations with time delay

(2016) Zhaopeng Hao et al.   APPLIED MATHEMATICS AND COMPUTATION

Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations

(2016) Y. Zhao et al.   APPLIED MATHEMATICS LETTERS

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

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

A two-grid finite element approximation for a nonlinear time-fractional Cable equation

(2016) Yang Liu et al.   NONLINEAR DYNAMICS

A note on compact finite difference method for reaction–diffusion equations with delay

(2015) Dongfang Li et al.   APPLIED MATHEMATICAL MODELLING

A new difference scheme for the time fractional diffusion equation

(2015) Anatoly A. Alikhanov   JOURNAL OF COMPUTATIONAL PHYSICS

Two Mixed Finite Element Methods for Time-Fractional Diffusion Equations

(2015) Yanmin Zhao et al.   JOURNAL OF SCIENTIFIC COMPUTING

Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy

(2015) Fanhai Zeng et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction equations

(2014) Dongyang Shi et al.   APPLIED MATHEMATICS AND COMPUTATION

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

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

Spectral approximations to the fractional integral and derivative

(2012) Changpin Li et al.   Fractional Calculus and Applied Analysis

Stability of Neutral Systems with Commensurate Delays and Poles Asymptotic to the Imaginary Axis

(2011) Catherine Bonnet et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION

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

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