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This is a Quantitative Study study (also classified as: Experimental Study).

October 15, 2025Open Access

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

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Analysis demonstrates pointwise error bounds for semilinear and quasilinear equations, suggesting grading improves solution accuracy.

Sharp error bounds were established for solutions exhibiting singular behavior at initial times.
The L1 time scheme combined with discretizations yielded effective results on graded meshes.
Numerical experiments confirmed theoretical predictions and illustrated the effectiveness of the approach.
Both time semi-discretizations and full discretizations using finite methods were addressed.

Kopteva et al. (2025) studied this question.

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