2 papers
math.NA2025
A Second-order method on graded meshes for fractional Laplacian via Riesz fractional derivative with a singular source term
Minghua Chen, Jianxing Han, Jiankang Shi +1
The high-order numerical analysis for fractional Laplacian via the Riesz fractional derivative, under the low regularity solution, has presented significant challenges in the past…
math.NA2024
The weighted and shifted seven-step BDF method for parabolic equations
Georgios Akrivis, Minghua Chen, Fan Yu
Stability of the BDF methods of order up to five for parabolic equations can be established by the energy technique via Nevanlinna--Odeh multipliers. The nonexistence of Nevanlinna…