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

In this work, the error splitting technique combined with cut-off function method is designed
to derive unconditionally optimal error estimates for a fully implicit conservative numerical …

Abstract A linearized Crank–Nicolson Galerkin finite element method with bilinear element
for nonlinear Schrödinger equation is studied. By splitting the error into two parts which are …

Nonlinear parabolic equation is studied with a linearized Galerkin finite element method.
First of all, a time-discrete system is established to split the error into two parts which are …

In this paper, we propose the conservative linearized Galerkin finite element methods
(FEMs) for the nonlinear Klein-Gordon-Schrödinger equation (KGSE) with homogeneous …

In this paper we study linearized backward differential formula (BDF) type schemes with
Galerkin finite element approximations for the time-dependent nonlinear thermistor …

The paper is concerned with the unconditional stability and optimal error estimates of
Galerkin finite element methods (FEMs) for a class of generalized nonlinear coupled …

In this paper, the error analysis of a two-grid method (TGM) with backward Euler scheme is
discussed for semilinear parabolic equation. Contrary to the conventional finite element …

In this paper, a general energy conservation Crank–Nicolson (CN) fully-discrete finite
element method (FEM) scheme is developed for solving the nonlinear Benjamin–Bona …

In this paper, we study an effective numerical method for the generalized Ginzburg–Landau
equation (GLE). Based on the linearized Crank–Nicolson difference method in time and the …