Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations

2024/08/06 by Kopteva, Natalia · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2408.03420

Abstract

A semilinear initial-boundary value problem with a Caputo time derivative of fractional order α∈(0,1) is considered, solutions of which typically exhibit a singular behaviour at an initial time. For an L2-type discretization of order 3-α, we give sharp pointwise-in-time error bounds on graded temporal meshes with arbitrary degree of grading.

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• Pointwise-in-time error bounds for semilinear and quasilinear fractional subdiffusion equations on graded meshes

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