Fast high order difference schemes for the time fractional telegraph equation

An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel

(2019) Leijie Qiao et al.   APPLIED MATHEMATICS AND COMPUTATION

Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations

(2018) Xiaoli Chen et al.   APPLIED MATHEMATICS LETTERS

Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

(2018) Hong-lin Liao et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Numerical Methods for Solving the Time-fractional Telegraph Equation

(2018) Leilei Wei et al.   TAIWANESE JOURNAL OF MATHEMATICS

Numerical methods and analysis for a multi-term time–space variable-order fractional advection–diffusion equations and applications

(2018) Ruige Chen et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for Solving the Time Multi-term and Distributed-Order Fractional Sub-diffusion Equations

(2017) Guang-hua Gao et al.   JOURNAL OF SCIENTIFIC COMPUTING

A second-order compact difference scheme for the fourth-order fractional sub-diffusion equation

(2017) Pu Zhang et al.   NUMERICAL ALGORITHMS

A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations

(2017) Pin Lyu et al.   NUMERICAL ALGORITHMS

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 compact difference scheme for a two dimensional nonlinear fractional Klein–Gordon equation in polar coordinates

(2016) Zhibo Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A new difference scheme for the time fractional diffusion equation

(2015) Anatoly A. Alikhanov   JOURNAL OF COMPUTATIONAL PHYSICS

High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives

(2015) Seakweng Vong et al.   NUMERICAL ALGORITHMS

Some temporal second order difference schemes for fractional wave equations

(2015) Hong Sun et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Spatial fractional telegraph equation for image structure preserving denoising

(2015) Wei Zhang et al.   SIGNAL PROCESSING

Local integration of 2-D fractional telegraph equation via local radial point interpolant approximation

(2015) Vahid Reza Hosseini et al.   European Physical Journal Plus

A high-order compact exponential scheme for the fractional convection–diffusion equation

(2013) Mingrong Cui   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

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

Fractional difference/finite element approximations for the time–space fractional telegraph equation

(2012) Zhengang Zhao et al.   APPLIED MATHEMATICS AND COMPUTATION

A High-Order Difference Scheme for the Generalized Cattaneo Equation

(2012) Seak-Weng Vong et al.   East Asian Journal on Applied Mathematics

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

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