A5015417143- Fractional Differential Equations Solutions
- Nonlinear Waves and Solitons
- Geophysical Methods and Applications
- Geophysical and Geoelectrical Methods
- Differential Equations and Numerical Methods
- Nanofluid Flow and Heat Transfer
- Nonlinear Photonic Systems
- Computational Fluid Dynamics and Aerodynamics
- Numerical methods for differential equations
- Plant Virus Research Studies
- Gas Dynamics and Kinetic Theory
- Theoretical and Computational Physics
- Plant Parasitism and Resistance
- Electromagnetic Simulation and Numerical Methods
- Electromagnetic Scattering and Analysis
- Ocean Waves and Remote Sensing
- Seismic Imaging and Inversion Techniques
- Phytoplasmas and Hemiptera pathogens
- Microwave Imaging and Scattering Analysis
- Seismic Waves and Analysis
- Soil Moisture and Remote Sensing
- Coastal and Marine Dynamics
- Advanced Fiber Laser Technologies
Jiangxi College of Applied Technology
2021-2024
Central South University
2021-2024
The conventional magnetotelluric inversion method is subject to the influence of initial model, which leads an unstable process and a tendency get trapped at local optimal solutions. In contrast, deep learning technology relies on its powerful non-linear fitting capability can construct complex mappings directly from observation data (input) model (output). recent years, it has received extensive attention researchers. Due difficulties in creating sufficiently large dataset performing neural...
The Broer-Kaup equation is one of many equations describing some phenomena shallow water wave. There are errors in scientific research because the existence non-smooth boundaries. In this paper, we generalize to fractal space and establish variational formulations through semi-inverse method. acquired formulation reveals conservation laws an energy form suggests possible solution structures morphology solitary waves
Traditional gradient-based inversion methods usually suffer from the problems of falling into local minima and relying heavily on initial guesses. Deep-learning have received increasing attention due to their excellent nonlinear fitting ability. However, given recent application deep-learning in field magnetotelluric (MT) inversion, there are currently challenges associated with achieving high resolution extracting sufficient features. We develop a neural network model (called MT2DInv-Unet)...
The Whitham-Broer-Kaup equation exists widely in shallow water waves, but unsmooth boundary seriously affects the properties of solitary waves and has certain deviations scientific research. aim this paper is to introduce its modification with fractal derivatives a space establish variational formulation by semi-inverse method. obtained principle shows conservation laws an energy form also hints possible solution structure.
In this paper, we mainly focus on a fractal model of Fangzhu’s nanoscale surface for water collection which is established through He’s derivative. Based the two-scale transform method, approximate analytical solutions are obtained by energy balance method and frequency–amplitude formulation with average residuals. Some specific numerical experiments show that these two methods simple effective can be adopted to other nonlinear oscillators. addition, properties solution reveal how enhance...
Abstract Quantitative interpretation of the data from controlled‐source electromagnetic methods, whether via forward modelling or inversion, requires solving a considerable number problems, and multigrid methods are often employed to accelerate process. In this study, new extrapolation cascadic method is solve large sparse complex linear system arising finite element approximation Maxwell's equations using secondary potentials. The potentials discretized by classic nodal on nonuniform...
The Poisson–Nernst–Planck (PNP) system is a nonlinear coupled that describes the motion of ionic particles. As exact solution not available, numerical investigations are essentially important, and there quite lot methods proposed in existing literature. However, theoretical analysis usually neglected due to complicated nature PNP system. In this paper, investigation for symmetrical finite difference method previous literature was conducted. An L2 error estimate O(τ+h2) derived scheme 1D,...
In this paper, the (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation is investigated to acquire complexiton solutions by Hirota direct method. It essential transform into bi-linear form and build N-compilexiton pairs of conjugate wave variables.
By using differential equations with discontinuous right-hand sides, a dynamic model for vector-borne infectious disease under the removal of infected trees was established after understanding transmission mechanism Huanglongbing (HLB) in citrus trees. Through calculation, basic reproductive number can be attained and properties are discussed. On this basis, existence global stability calculated equilibria verified. Moreover, it found that different I0 control strategy cannot change HLB...
The convection–dispersion equation has always been a classic for studying pollutant migration models. There are certain deviations in scientific research because of the existence impurity medium and nonsmooth boundary. In this paper, we introduced one-dimensional with fractal derivatives space, established variational formula through semi-inverse method. have obtained can provide conservation laws an energy form space possible solution structures given equation. An analytical is two-scale...
The convection-diffusion equation describes a convection and diffusion process, which is the cornerstone of electrochemistry. process always takes place in porous medium or on an uneven boundary, abnormal occurs, will lead to deviations prediction process. To overcome problem, fractal modification suggested deal with ?abnormal? 2-D steady-state derivatives space established. Furthermore, its variational principle obtained by semi-inverse method. formula can not only provide conservation law...