We present a general framework for the rigorous numerical analysis of time-fractional
nonlinear parabolic partial differential equations, with a fractional derivative of order α∈(0,1) …

This paper addresses the numerical solution of the three-dimensional nonlocal evolution
equation with a weakly singular kernel. The first order fractional convolution quadrature …

This paper is concerned with numerical solutions of time-fractional nonlinear parabolic
problems by a class of $ L1 $-Galerkin finite element methods. The analysis of $ L1 …

A Newton linearized Galerkin finite element method is proposed to solve nonlinear time
fractional parabolic problems with non-smooth solutions in time direction. Iterative processes …

This work formulates two kinds of alternating direction implicit (ADI) schemes for the
parabolic-type three-dimensional evolution equation with a weakly singular kernel. The …

This paper is concerned with unconditionally optimal error estimates of linearized Galerkin
finite element methods to numerically solve some multi-dimensional fractional reaction …

A fast two-level linearized scheme with nonuniform time-steps is constructed and analyzed
for an initial-boundary-value problem of semilinear subdiffusion equations. The two-level …

The discrete gradient structure and the positive definiteness of discrete fractional integrals or
derivatives are fundamental to the numerical stability in long-time simulation of nonlinear …

A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-
differential equation with a weakly singular kernel is of concern in this paper. The scheme is …

The paper constructs a fast efficient numerical scheme for the nonlocal evolution equation
with three weakly singular kernels in three-dimensional space. In the temporal direction, We …