Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains
Many PDEs involving fractional Laplacian are naturally set in unbounded domains with
underlying solutions decaying slowly and subject to certain power law. Their numerical …
underlying solutions decaying slowly and subject to certain power law. Their numerical …
New spectral element method for Volterra integral equations with weakly singular kernel
In this paper, we put forward a new spectral element method for the nonlinear second-kind
Volterra integral equations (VIEs) with weakly singular kernel, which employs shifted M u ̈ …
Volterra integral equations (VIEs) with weakly singular kernel, which employs shifted M u ̈ …
An exponentially convergent scheme in time for time fractional diffusion equations with non-smooth initial data
B Duan, Z Zheng - Journal of Scientific Computing, 2019 - Springer
In this paper we aim at developing highly accurate and stable method in temporal direction
for time-fractional diffusion equations with initial data v ∈ L^ 2 (\varOmega) v∈ L 2 (Ω). To …
for time-fractional diffusion equations with initial data v ∈ L^ 2 (\varOmega) v∈ L 2 (Ω). To …