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Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations
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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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Publisher
Elsevier
Citation
Applied Mathematics Letters 160, 109306
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Kopteva_2024_Error.pdf
Adobe PDF, 498.05 KB