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A numerical method based on fully discrete direct discontinuous Galerkin method for the time fractional diffusion equation
In this paper, an implicit fully discrete direct discontinuous Galerkin (DDG) finite element method is considered for solving the time fractional diffusion equation. The scheme is based on theExpand
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Fractional differential algorithms for rock fracture images
Abstract It is a new research topic that fractional differential theory is used into image processing. This paper presents a new type of algorithms to improve the fractional differential TiansiExpand
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The local discontinuous Galerkin method for Burger's-Huxley and Burger's-Fisher equations
Abstract In this paper, a numerical solution for the generalized Burger’s–Huxley equation and the generalized Burger’s–Fisher equation are presented by using the local discontinuous Galerkin method.Expand
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The cell-centered discontinuous Galerkin method for Lagrangian compressible Euler equations in two-dimensions
Abstract This paper presents a new cell-centered Lagrangian scheme for two-dimensional compressible flow. The new scheme uses a semi-Lagrangian form of the Euler equations. The system of equations isExpand
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Two-dimensional lattice Boltzmann model for compressible flows with high Mach number
In this paper we present an improved lattice Boltzmann model for compressible Navier–Stokes system with high Mach number. The model is composed of three components: (i) the discrete-velocity-model byExpand
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Modelling urban expansion using a multi agent-based model in the city of Changsha
Although traditional urban expansion simulation models can simulate dynamic features, these models fail to address complex changes produced by different agents’ behaviors. The paper has built up aExpand
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Lattice Boltzmann modeling and simulation of compressible flows
In this mini-review we summarize the progress of Lattice Boltzmann (LB) modeling and simulating compressible flows in our group in recent years. Main contents include (i) Single-Relaxation-Time (SRT)Expand
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Variation of Net Primary Production and Its Correlation with Climate Change and Anthropogenic Activities over the Tibetan Plateau
Grasslands in the Tibetan Plateau are claimed to be sensitive and vulnerable to climate change and anthropogenic activities. Quantifying the impacts of climate change and anthropogenic activities onExpand
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Direct discontinuous Galerkin method for nonlinear reaction–diffusion systems in pattern formation
Abstract Nonlinear reaction–diffusion systems are often employed in mathematical modeling for pattern formation. Most of the work to date has been concerned within one-dimensional or rectangularExpand
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The new numerical method for solving the system of two-dimensional Burgers' equations
In this paper, the system of two-dimensional Burgers' equations are solved by local discontinuous Galerkin (LDG) finite element method. The new method is based on the two-dimensional Hopf-ColeExpand
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