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

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posted on 2024-09-17, 08:36 authored by Natalia KoptevaNatalia Kopteva

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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Publication

Applied Mathematics Letters 160, 109306

Publisher

Elsevier

Department or School

  • Mathematics & Statistics

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