# Error analysis for time-fractional semilinear parabolic equations using upper and lower solutions

20 Jul 2020 Kopteva Natalia

A semilinear initial-boundary value problem with a Caputo time derivative of fractional order $\alpha\in(0,1)$ is considered, solutions of which typically exhibit a singular behaviour at an initial time. For L1-type discretizations of this problem, we employ the method of upper and lower solutions to obtain sharp pointwise-in-time error bounds on quasi-graded temporal meshes with arbitrary degree of grading... (read more)

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• NUMERICAL ANALYSIS
• NUMERICAL ANALYSIS