Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations
The computational work and storage of numerically solving the time fractional PDEs are
generally huge for the traditional direct methods since they require total memory and work …
generally huge for the traditional direct methods since they require total memory and work …
Multi-dimensional data indexing and range query processing via Voronoi diagram for internet of things
In a typical Internet of Things (IoT) deployment such as smart cities and Industry 4.0, the
amount of sensory data collected from physical world is significant and wide-ranging …
amount of sensory data collected from physical world is significant and wide-ranging …
Analysis of -Galerkin FEMs for time-fractional nonlinear parabolic problems
This paper is concerned with numerical solutions of time-fractional nonlinear parabolic
problems by a class of $ L1 $-Galerkin finite element methods. The analysis of $ L1 …
problems by a class of $ L1 $-Galerkin finite element methods. The analysis of $ L1 …
Unconditionally Convergent -Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations
In this paper, a linearized L1-Galerkin finite element method is proposed to solve the
multidimensional nonlinear time-fractional Schrödinger equation. In terms of a temporal …
multidimensional nonlinear time-fractional Schrödinger equation. In terms of a temporal …
A long video caption generation algorithm for big video data retrieval
Videos captured by people are often tied to certain important moments of their lives. But with
the era of big data coming, the time required to retrieval and watch can be daunting. In this …
the era of big data coming, the time required to retrieval and watch can be daunting. In this …
[PDF][PDF] A novel numerical approach to time-fractional parabolic equations with nonsmooth solutions
This paper is concerned with numerical solutions of time-fractional parabolic equations. Due
to the Caputo time derivative being involved, the solutions of equations are usually singular …
to the Caputo time derivative being involved, the solutions of equations are usually singular …
Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction–subdiffusion equations
This paper is concerned with unconditionally optimal error estimates of linearized Galerkin
finite element methods to numerically solve some multi-dimensional fractional reaction …
finite element methods to numerically solve some multi-dimensional fractional reaction …
A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equations
This paper is concerned with the construction and analysis of a novel linearized compact
ADI scheme for the two-dimensional Riesz space fractional nonlinear reaction–diffusion …
ADI scheme for the two-dimensional Riesz space fractional nonlinear reaction–diffusion …
Convergence and stability of compact finite difference method for nonlinear time fractional reaction–diffusion equations with delay
L Li, B Zhou, X Chen, Z Wang - Applied Mathematics and Computation, 2018 - Elsevier
This paper is concerned with numerical solutions of nonlinear time fractional reaction–
diffusion equations with time delay. A linearized compact finite difference scheme is …
diffusion equations with time delay. A linearized compact finite difference scheme is …
Distributed fault detection for wireless sensor networks based on support vector regression
Y Cheng, Q Liu, J Wang, S Wan… - … and Mobile Computing, 2018 - Wiley Online Library
Because the existing approaches for diagnosing sensor networks lead to low precision and
high complexity, a new fault detection mechanism based on support vector regression and …
high complexity, a new fault detection mechanism based on support vector regression and …