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math.NA2026
Pointwise-in-time error bounds for semilinear and quasilinear fractional subdiffusion equations on graded meshes
Natalia Kopteva, Sean Kelly
Time-fractional semilinear and quasilinear parabolic equations with a Caputo time derivative of order are considered, solutions of which exhibit a singular behaviour a…
math.NA2024
Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations
Natalia Kopteva
A semilinear initial-boundary value problem with a Caputo time derivative of fractional order is considered, solutions of which typically exhibit a singular behaviour…
math.NA2024
On the solution existence for collocation discretizations of time-fractional subdiffusion equations
Sebastian Franz, Natalia Kopteva
Time-fractional parabolic equations with a Caputo time derivative of order are discretized in time using continuous collocation methods. For such discretizations, we g…