Graded mesh discretization for coupled system of nonlinear multi-term time-space fractional diffusion equations

Numerical treatment for after-effected multi-term time-space fractional advection–diffusion equations

(2020) Ahmed. S. Hendy   ENGINEERING WITH COMPUTERS

Good (and Not So Good) Practices in Computational Methods for Fractional Calculus

(2020) Kai Diethelm et al.   Mathematics

Implicit-explicit time integration of nonlinear fractional differential equations

(2020) Yongtao Zhou et al.   APPLIED NUMERICAL MATHEMATICS

An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions

(2020) Mahmoud A. Zaky   APPLIED NUMERICAL MATHEMATICS

Chebyshev spectral methods for multi-order fractional neutral pantograph equations

(2020) S. S. Ezz-Eldien et al.   NONLINEAR DYNAMICS

A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions

(2020) Ying Wang et al.   NUMERICAL ALGORITHMS

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

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

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

An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch–Torrey equations

(2018) Mehdi Dehghan et al.   APPLIED NUMERICAL MATHEMATICS

A spectral framework for fractional variational problems based on fractional Jacobi functions

(2018) M.A. Zaky et al.   APPLIED NUMERICAL MATHEMATICS

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

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

A semi-analytical collocation Trefftz scheme for solving multi-term time fractional diffusion-wave equations

(2018) Zhuo-Jia Fu et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations

(2018) Zeting Liu et al.   APPLIED NUMERICAL MATHEMATICS

Numerical methods and analysis for simulating the flow of a generalized Oldroyd-B fluid between two infinite parallel rigid plates

(2017) Libo Feng et al.   INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

Stability and convergence of a fully discrete local discontinuous Galerkin method for multi-term time fractional diffusion equations

(2017) Leilei Wei   NUMERICAL ALGORITHMS

Galerkin-Legendre spectral schemes for nonlinear space fractional Schrödinger equation

(2017) Hui Zhang 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

A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations

(2017) Mahmoud A. Zaky   computational and applied mathematics

Shifted fractional-order Jacobi orthogonal functions: Application to a system of fractional differential equations

(2016) A.H. Bhrawy et al.   APPLIED MATHEMATICAL MODELLING

Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid

(2016) Chunying Ming et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Too much regularity may force too much uniqueness

(2016) Martin Stynes   Fractional Calculus and Applied Analysis

Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations

(2015) Mehdi Dehghan et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

The Galerkin finite element method for a multi-term time-fractional diffusion equation

(2015) Bangti Jin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A method based on the Jacobi tau approximation for solving multi-term time–space fractional partial differential equations

(2015) A.H. Bhrawy et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

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

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

Analytical solutions for the multi-term time–space Caputo–Riesz fractional advection–diffusion equations on a finite domain

(2012) H. Jiang et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Analytical solutions for the multi-term time–space fractional advection–diffusion equations with mixed boundary conditions

(2012) Xiao-Li Ding et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation

(2010) Yury Luchko   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Analytical time-domain Green’s functions for power-law media

(2008) James F. Kelly et al.   JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA