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math.NA2021
Unconditional energy dissipation and error estimates of the SAV Fourier spectral method for nonlinear fractional generalized wave equation
Nan Wang, Meng Li, Chengming Huang
In this paper, we consider a second-order scalar auxiliary variable (SAV) Fourier spectral method to solve the nonlinear fractional generalized wave equation. Unconditional energy…
math.NA2018
A spectral penalty method for two-sided fractional differential equations with general boundary conditions
Nan Wang, Zhiping Mao, Chengming Huang +1
We consider spectral approximations to the conservative form of the two-sided Riemann-Liouville (R-L) and Caputo fractional differential equations (FDEs) with nonhomogeneous Dirich…