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math.NA2026
Efficient Krylov solvers for inverse source problem in 2D space-time fractional diffusion equation
Asim Ilyas, Stefano Serra-Capizzano
In this work, we consider a two-dimensional time-space fractional diffusion equation with a variable coefficient and investigate the inverse source problem of reconstructing the so…
math.NA2026
Structure-preserving preconditioning of discrete space-fractional diffusion equations with variable coefficient and θ-Method
Muhammad Faisal Khan, Asim Ilyas, Rolf Krause +2
This paper studies the spectral properties of large matrices and the preconditioning of linear systems, arising from the finite difference discretization of a time-dependent space-…
math.NA2025
Determining the space dependent coefficients in space-time fractional diffusion equations via Krylov preconditioning
Asim Ilyas, Muhammad Faisal Khan, Rosita L. Sormani +2
We consider a time-space fractional diffusion equation with a variable coefficient and investigate the inverse problem of reconstructing the source term, after regularizing the pro…