3 papers
math.NA2026
Non-uniform -Robust Alikhanov Mixed FEM with Optimal Convergence for the Time-Fractional Allen--Cahn Equation
Abhinav Jha, Samir Karaa, Aditi Tomar
We investigate a mixed finite element method for the spatial discretization of a time-fractional Allen--Cahn equation defined on a convex polyhedral domain, combined with a nonunif…
math.NA2024
A mixed FEM for a time-fractional Fokker-Planck model
Samir Karaa, Kassem Mustapha, Naveed Ahmed
We propose and analyze a mixed finite element method for the spatial approximation of a time-fractional Fokker--Planck equation in a convex polyhedral domain, where the given drivi…
math.NA2024
Strong approximation of the time-fractional Cahn--Hilliard equation driven by a fractionally integrated additive noise
Mariam Al-Maskari, Samir Karaa
In this paper, we consider the numerical approximation of a time-fractional stochastic Cahn--Hilliard equation driven by an additive fractionally integrated Gaussian noise. The mod…