J
Jing Li
Researcher at Changsha University of Science and Technology
Publications - 21
Citations - 392
Jing Li is an academic researcher from Changsha University of Science and Technology. The author has contributed to research in topics: Fractional calculus & Numerical analysis. The author has an hindex of 9, co-authored 17 publications receiving 306 citations. Previous affiliations of Jing Li include Central South University.
Papers
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A novel finite volume method for the Riesz space distributed-order diffusion equation☆
TL;DR: A novel finite volume method (FVM) for a distributed-order space-fractional diffusion equation (FDE) is proposed and it is proved that the Crank–Nicolson scheme with FVM is unconditionally stable and convergent with second order accuracy in both time and space.
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Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time–space fractional Bloch–Torrey equations on irregular convex domains
TL;DR: An unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time–space fractional diffusion equation with Riesz fractional operators on irregular convex domains is proposed and the stability and convergence of the numerical scheme are rigorously established.
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A novel finite volume method for the Riesz space distributed-order advection–diffusion equation
TL;DR: In this article, the authors investigated the finite volume method (FVM) for a distributed-order space-fractional advection-diffusion (AD) equation.
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High-order numerical methods for the Riesz space fractional advection–dispersion equations
TL;DR: This paper discusses the Crank–Nicolson scheme and solves it in matrix form, and proves that the scheme is unconditionally stable and convergent with the accuracy of O ( τ 2 + h 2 ) .
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A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients
TL;DR: This paper utilizes a second-order scheme to approximate the RiemannLiouville fractional derivative and presents the finite difference scheme, and proves the stability and convergence of the scheme and concludes that the scheme is unconditionally stable and convergent with the second- order accuracy of O(2+h2).