2 papers
math.NA2026
Local convergence analysis of a linearized Alikhanov scheme for the time fractional sine-Gordon equation
Chang Hou, Hu Chen
This paper investigates the time fractional sine-Gordon equation whose solution exhibits a weak singularity of type t^α. By means of the Alikhanov formula we derive a fully discre…
math.NA2026
Pointwise-in-time convergence analysis of an Alikhanov scheme for a 2D nonlinear subdiffusion equation
Chang Hou, Hu Chen, Jian Wang
In this paper, we discretize the Caputo time derivative of order α\in (0,1) using the Alikhanov scheme on a quasi-graded temporal mesh, and employ the Newton linearization method…