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math.NA2025
Solving time-fractional diffusion equations with Robin boundary conditions via fractional Hamiltonian boundary value methods
Qian Luo, Aiguo Xiao, Xiaoqiang Yan +1
In this paper, we propose a novel numerical scheme for solving time-fractional reaction-diffusion problems with Robin boundary conditions, where the time derivative is in the Caput…
math.NA2024
Hamiltonian Boundary Value Methods (HBVMs) for functional differential equations with piecewise continuous arguments
Gianmarco Gurioli, Weijie Wang, Xiaoqiang Yan
In this paper, a class of high-order methods to numerically solve Functional Differential Equations with Piecewise Continuous Arguments (FDEPCAs) is discussed. The framework stems…