1 citations · 1 across the 2 of their papers we have counts for
6 papers
Numerical solution of a time-fractional nonlinear Rayleigh-Stokes problem
Mariam Al-Maskari, Samir Karaa
We study a semilinear fractional-in-time Rayleigh-Stokes problem for a generalized second-grade fluid with a Lipschitz continuous nonlinear source term and initial data $u_0\in\dot…
Galerkin Type Methods for Semilinear Time-Fractional Diffusion Problems
Samir Karaa
We derive optimal -error estimates for semilinear time-fractional subdiffusion problems involving Caputo derivatives in time of order , for cases with smooth and n…
Galerkin FEM for a time-fractional Oldroyd-B fluid problem
Mariam Al-Maskari, Samir Karaa
We consider the numerical approximation of a generalized fractional Oldroyd-B fluid problem involving two Riemann-Liouville fractional derivatives in time. We establish regularity…
Semidiscrete Finite Element Analysis of Time Fractional Parabolic Problems: A Unified Approach
Samir Karaa
In this paper, we consider the numerical approximation of time-fractional parabolic problems involving Caputo derivatives in time of order , . We derive optimal error es…
Error analysis of a finite volume element method for fractional order evolution equations with nonsmooth initial data
Samir Karaa, Amiya K. Pani
In this paper, a finite volume element (FVE) method is considered for spatial approximations of time-fractional diffusion equations involving a Riemann-Liouville fractional derivat…
Optimal error analysis of a FEM for fractional diffusion problems by energy arguments
Samir Karaa, Kassem Mustapha, Amiya K. Pani
In this article, the piecewise-linear finite element method (FEM) is applied to approximate the solution of time-fractional diffusion equations on bounded convex domains. Standard…