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02/06/2023
Sharp error estimates for spatial-temporal finite difference approximations to fractional sub-diffusion equation without regularity assumption on the exact solution
Finite difference method as a popular numerical method has been widely u...
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09/02/2022
Optimal convergence for the regularized solution of the model describing the competition between super- and sub- diffusions driven by fractional Brownian sheet noise
Super- and sub- diffusions are two typical types of anomalous diffusions...
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01/26/2022
Numerical Approximation for Stochastic Nonlinear Fractional Diffusion Equation Driven by Rough Noise
In this work, we are interested in building the fully discrete scheme fo...
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12/10/2021
Regularity theory and numerical algorithm for the fractional Klein-Kramers equation
Fractional Klein-Kramers equation can well describe subdiffusion in phas...
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09/07/2021
Numerical approximations for the fractional Fokker-Planck equation with two-scale diffusion
Fractional Fokker-Planck equation plays an important role in describing ...
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06/02/2021
An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion
We study the inverse random source problem for the time-space fractional...
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04/28/2021
A unified convergence analysis for the fractional diffusion equation driven by fractional Gaussion noise with Hurst index H∈(0,1)
Here, we provide a unified framework for numerical analysis of stochasti...
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01/27/2021
Finite difference method for inhomogeneous fractional Dirichlet problem
We make the split of the integral fractional Laplacian as (-Δ)^s u=(-Δ)(...
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01/20/2021
Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian
In this paper, we provide a framework of designing the local discontinuo...
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01/06/2021
Numerical analysis for stochastic time-space fractional diffusion equation driven by fractional Gaussion noise
In this paper, we consider the strong convergence of the time-space frac...
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07/28/2020
Strong convergence order for the scheme of fractional diffusion equation driven by fractional Gaussion noise
Fractional Gaussian noise models the time series with long-range depende...
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06/29/2020
High-order BDF fully discrete scheme for backward fractional Feynman-Kac equation with nonsmooth data
The Feynman-Kac equation governs the distribution of the statistical obs...
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11/06/2019
Error estimates for backward fractional Feynman-Kac equation with non-smooth initial data
In this paper, we are concerned with the numerical solution for the back...
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10/12/2019