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Wenyi Tian
Researcher at Tianjin University
Publications - 19
Citations - 1311
Wenyi Tian is an academic researcher from Tianjin University. The author has contributed to research in topics: Discretization & Finite element method. The author has an hindex of 9, co-authored 16 publications receiving 1155 citations. Previous affiliations of Wenyi Tian include Lanzhou University & Hong Kong Baptist University.
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A class of second order difference approximations for solving space fractional diffusion equations
TL;DR: A class of second order approximations, called the weighted and shifted Grunwald difference (WSGD) operators, are proposed for Riemann-Liouville fractional derivatives, with their effective applications to numerically solving space fractional diffusion equations in one and two dimensions.
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A Class of Second Order Difference Approximation for Solving Space Fractional Diffusion Equations
Wenyi Tian,Han Zhou,Weihua Deng +2 more
TL;DR: In this article, a class of second order approximations, called the weighted and shifted Gr''{u}nwald difference operators, are proposed for Riemann-Liouville fractional derivatives, with their effective applications to numerically solving space fractional diffusion equations in one and two dimensions.
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Quasi-Compact Finite Difference Schemes for Space Fractional Diffusion Equations
Han Zhou,Wenyi Tian,Weihua Deng +2 more
TL;DR: The method improves the spatial accuracy order of the weighted and shifted Grünwald difference (WSGD) scheme (Tian et al., arXiv:1201.5949) from 2 to 3.
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Compact Finite Difference Approximations for Space Fractional Diffusion Equations
Han Zhou,Wenyi Tian,Weihua Deng +2 more
TL;DR: Based on the weighted and shifted Gr{u}nwald difference (WSGD) operators, the authors constructed the compact finite difference discretizations for the fractional operators and theoretically proved and numerically verified that the provided numerical schemes have the convergent orders 3 in space and 2 in time.
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Boundary Problems for the Fractional and Tempered Fractional Operators
TL;DR: The reasonable ways, ensuring the clear physical meaning and well-posedness of the partial differential equations (PDEs), of specifying “boundary” conditions for space fractional PDEs modeling the anomalous diffusion are shown.