A5036776968- Fractional Differential Equations Solutions
- Differential Equations and Boundary Problems
- Advanced Mathematical Modeling in Engineering
- Numerical methods in engineering
- Advanced Numerical Methods in Computational Mathematics
- Differential Equations and Numerical Methods
- Advanced Mathematical Theories and Applications
- Electrohydrodynamics and Fluid Dynamics
- Probabilistic and Robust Engineering Design
- Electrospun Nanofibers in Biomedical Applications
- Numerical methods in inverse problems
- Advanced Measurement and Metrology Techniques
- Advanced Mathematical Physics Problems
- Power Transformer Diagnostics and Insulation
- Mathematical Inequalities and Applications
- Iterative Methods for Nonlinear Equations
- Advanced Numerical Analysis Techniques
- Land Use and Ecosystem Services
- Computational Fluid Dynamics and Aerodynamics
- Acoustic Wave Phenomena Research
- Fluid Dynamics and Heat Transfer
- Experimental and Theoretical Physics Studies
- Nonlinear Waves and Solitons
- Advanced Sensor and Energy Harvesting Materials
- Image and Object Detection Techniques
Xi'an University of Architecture and Technology
2019-2025
Soochow University
2021
Henan Polytechnic University
2021
Academy of Mathematics and Systems Science
2019
University of Chinese Academy of Sciences
2019
Electrospinning is a complex process, and it can be modeled by Bratu-type equation with fractal derivatives taking into account the solvent evaporation. Though there are many analytical methods available for such problem, e.g. variational iteration method homotopy perturbation method, straightforward simple solution process high accurate results much needed. This paper applies Taylor series technology to calculus, an approximate obtained. A principle also discussed. As accessible all...
Electrohydrodynamic fluids possess extensive applications, spanning from the formation of magnetic fields in planets and stars to oil recovery. In this paper, a variational principle for an electrohydrodynamic fluid is presented, formulated through semi-inverse method. The Ritz method utilized derive approximate solution. Furthermore, potential application optimal control problems constrained by explored.
Many nonlinear vibrations arising in the engineering of architecture include noise and uncertain properties, this paper suggests a fractional model to elucidate properties. The sine-Gordon equation with Riemann–Liouville derivative is used as an example solve its periodic solution by homotopy perturbation method. frequency–amplitude relationship obtained, effect order on vibration property discussed. Additionally, harmonic resonance also This preliminary research can be further extended real...
A generalized KdV equation with fractal derivatives is suggested, and a special function introduced to establish variational principle. detailed derivation elucidated step by the semi-inverse method, some cases are discussed.
The dropping mechanism in the electrospinning process is elucidated. A moving jet becomes thinner at initial stage due to acceleration caused by electrostatic force. When diameter reaches a threshold, beyond which breaks into drops and daughter jets, occurs. will finally form microspheres. Effects of applied voltage, flow rate, polymer?s concentration, receptor?s distance on are theoretically analyzed experimentally verified. This paper gives general strategy for fabrication smooth fiber,...
Abstract Site selection adaptability of traditional villages along rivers can be summarized as the local ecological wisdom accumulated and preserved by generations villagers. The site distribution pattern is closely related to river. In this research, 97 Yellow River in Shanxi Shaanxi were selected research objects. Kernel density analysis, Area buffer zone a self‐designed river location function (RLF) used explore, calculate, evaluate spatial adaptation mechanism River. Most are located...
Nonlinear oscillators arise everywhere in engineering, and though there are many analytical methods available, a fast accurate estimation of the frequency–amplitude relationship is much needed practical applications. He’s frequency formulation meets this requirement, but local points chosen randomly. In paper, Gaussian interpolation adopted, making method more mathematically rigorous physically reliable. The cubic-quintic Duffing equation used for comparison, an excellent result obtained.
A vibration system with discontinuities has triggered off rocketing interest in various fields including mechanical engineering, physics, and mathematics because it many striking amazing properties which cannot be unexplained by traditional theory. This paper studies the problem using energy conservation frame a fractal time. variational formulation is developed, its periodic property elucidated frequency–amplitude formulation. For discontinuity, this aims to propose new frequency means of...