TY - JOUR
T1 - Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations
AU - Kopteva, Natalia
N1 - Publisher Copyright:
© 2024 The Author(s)
PY - 2025/2
Y1 - 2025/2
N2 - 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.
AB - 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.
KW - Graded temporal mesh
KW - L2 scheme
KW - Pointwise-in-time error bounds
KW - Semilinear
KW - Subdiffusion equation
UR - http://www.scopus.com/inward/record.url?scp=85203422890&partnerID=8YFLogxK
U2 - 10.1016/j.aml.2024.109306
DO - 10.1016/j.aml.2024.109306
M3 - Article
AN - SCOPUS:85203422890
SN - 0893-9659
VL - 160
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
M1 - 109306
ER -