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Fawang Han 보안공학연구지원센터 2016 International Journal of Future Generation Communi Vol.9 No.1
Recently, social networks have become one of the most popular tools for communication and information exchanges, and people are constructing social relationships and conducting social interactions over social networks. In this paper, we focus on digital forensics on social networks. Specifically, considering the emerging of cloud computing and big data tides, we propose a cloud based forensics framework for social networks, where social networking data is collected, stored, and analyzed through a multi-layered modularity framework using cloud computing techniques, including virtualization, distributed processing and storage, and collaboration. Besides, we also provide a case study on social link prediction, which is, reasoning links between nodes to infer possible relationships between criminals.
AN UNSTRUCTURED MESH FINITE VOLUME METHOD FOR MODELLING SALTWATER INTRUSION INTO COASTAL AQUIFERS
Fawang Liu,Ian Turner,Vo Anh 한국전산응용수학회 2002 Journal of applied mathematics & informatics Vol.9 No.2
In this paper, a two-dimensional finite volume unstructured mesh method (FVUM) based on a triangular background interpolation mesh is developed for analysing the evolution of the saltwater intrusion into single and multiple coastal aquifer systems. The model formulation consists of a ground-water flow equation and a salt transport equation. These coupled and non-linear partial differential equations are transformed by FVUM into a system of differential/algebraic equations, which is solved using backward differentiation formulas of order one through five. Simulation results are compared with previously published solutions where good agreement is observed. In this paper, a two-dimensional finite volume unstructured mesh method (FVUM) based on a triangular background interpolation mesh is developed for analysing the evolution of the saltwater intrusion into single and multiple coastal aquifer systems. The model formulation consists of a ground-water flow equation and a salt transport equation. These coupled and non-linear partial differential equations are transformed by FVUM into a system of differential/algebraic equations, which is solved using backward differentiation formulas of order one through five. Simulation results are compared with previously published solutions where good agreement is observed.
The fundamental solution of the space-time fractional advection-dispersion equation
F. Huang,Fawang Liu 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.18 No.1-2
A space-time fractional advection-dispersion equation (ADE) is a generalization of the classical ADE in which the first-order time derivative is replaced with Caputo derivative of order 2 (0, 1], and the second-order space derivative is replaced with a Riesz-Feller derivative of order 2 (0, 2]. We derive the solution of its Cauchy problem in terms of the Green functions and the representations of the Green function by applying its Fourier-Laplace transforms. The Green function also can be interpreted as a spatial probability density function (pdf) evolving in time. We do the same on another kind of space-time fractional advection-dispersion equation whose space and time derivatives both replacing with Caputo derivative
Kechen Zhuang,Fawang Han,Haibo Shen,Kun Zhang,Hong Zhang 보안공학연구지원센터 2016 International Journal of Hybrid Information Techno Vol.9 No.6
Information diffusion in online social network especially in microblog system, can largely affect the public opinion and even the development of events, so the prediction of the future dynamics of diffusion could be very valuable at many aspects. In this research, a novel graph-based cascades construct algorithm is proposed, with which we build a prediction model for future information diffusion dynamics. By learning user influence features that related with the network topology and users’ interactions from a large scale real Weibo dataset, we successfully predicted the short term topic related tweets population dynamics.
IMPLICIT DIFFERENCE APPROXIMATION FOR THE TWO-DIMENSIONAL SPACE-TIME FRACTIONAL DIFFUSION EQUATION
Zhuang, Pinghui,Liu, Fawang 한국전산응용수학회 2007 Journal of applied mathematics & informatics Vol.25 No.1
In this paper, we consider a two-dimensional fractional space-time diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and convergence of the method are discussed. Some numerical examples are presented to show the application of the present technique.