Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations

Time two-grid technique combined with temporal second order difference method for two-dimensional semilinear fractional sub-diffusion equations

(2022) Dakang Cen et al.   APPLIED MATHEMATICS LETTERS

An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation

(2020) Leijie Qiao et al.   APPLIED NUMERICAL MATHEMATICS

Sharp error estimate of a compact L1-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels

(2020) Zhibo Wang et al.   APPLIED NUMERICAL MATHEMATICS

Second order difference schemes for time-fractional KdV–Burgers’ equation with initial singularity

(2020) Dakang Cen et al.   APPLIED MATHEMATICS LETTERS

Unconditional Convergence of a Fast Two-Level Linearized Algorithm for Semilinear Subdiffusion Equations

(2019) Hong-lin Liao et al.   JOURNAL OF SCIENTIFIC COMPUTING

On Caputo–Hadamard fractional differential equations

(2019) Madiha Gohar et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel

(2019) Hongbin Chen et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation

(2019) Pin Lyu et al.   APPLIED NUMERICAL MATHEMATICS

A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators

(2018) Fanhai Zeng et al.   JOURNAL OF SCIENTIFIC COMPUTING

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

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

ON HADAMARD FRACTIONAL CALCULUS

(2017) LI MA et al.   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Fast finite difference methods for space-fractional diffusion equations with fractional derivative boundary conditions

(2015) Jinhong Jia et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations

(2015) Rihuan Ke et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fast Numerical Contour Integral Method for Fractional Diffusion Equations

(2015) Hong-Kui Pang et al.   JOURNAL OF SCIENTIFIC COMPUTING

A high-order ADI scheme for the two-dimensional time fractional diffusion-wave equation

(2014) Zhibo Wang et al.   INTERNATIONAL JOURNAL OF COMPUTER 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

Caputo-type modification of the Hadamard fractional derivatives

(2012) Fahd Jarad et al.   Advances in Difference Equations

Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation

(2011) Ya-nan Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

(2011) Kenichi Sakamoto et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations

(2008) Hong-Lin Liao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS