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07/11/2023
Stability analysis of a second-order difference scheme for the time-fractional mixed sub-diffusion and diffusion-wave equation
This study investigates a class of initial-boundary value problems perta...
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02/25/2023
A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation
The shifted fractional trapezoidal rule (SFTR) with a special shift is a...
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09/18/2021
Mean square stability of stochastic theta method for stochastic differential equations driven by fractional Brownian motion
In this paper, we study the mean-square stability of the solution and it...
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08/24/2021
A second order difference scheme for time fractional diffusion equation with generalized memory kernel
In the current work we build a difference analog of the Caputo fractiona...
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05/04/2021
Unconditional energy dissipation and error estimates of the SAV Fourier spectral method for nonlinear fractional generalized wave equation
In this paper, we consider a second-order scalar auxiliary variable (SAV...
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02/17/2021
A high-order L2 type difference scheme for the time-fractional diffusion equation
The present paper is devoted to constructing L2 type difference analog o...
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04/10/2020