A5100444599- Fractional Differential Equations Solutions
- Differential Equations and Numerical Methods
- Nonlinear Differential Equations Analysis
- Numerical methods for differential equations
- Iterative Methods for Nonlinear Equations
- Numerical methods in engineering
- Electromagnetic Scattering and Analysis
- Mathematical functions and polynomials
- Fuzzy Systems and Optimization
- Fluid Dynamics and Turbulent Flows
- Computational Fluid Dynamics and Aerodynamics
- Combustion and flame dynamics
- Magnetic confinement fusion research
- Matrix Theory and Algorithms
- Numerical methods in inverse problems
- Advanced Mathematical Modeling in Engineering
- Advanced Measurement and Detection Methods
- Industrial Technology and Control Systems
- Differential Equations and Boundary Problems
- Nonlinear Waves and Solitons
- Gas Dynamics and Kinetic Theory
- Fluid Dynamics and Heat Transfer
- Computational Drug Discovery Methods
- Mathematical Biology Tumor Growth
- Fluid Dynamics and Mixing
Chengdu Normal University
2018-2024
Shandong University
2024
Jiaxing University
2024
Wuhan University of Technology
2024
Guilin University of Electronic Technology
2014-2023
Columbia University Irving Medical Center
2023
Zigong First People's Hospital
2022
China Aerodynamics Research and Development Center
2021
Eli Lilly (United States)
2019
University of Electronic Science and Technology of China
2015-2016
The gas–liquid flow dynamics in a special bubble column with low aspect ratio, which was equipped annular gas distributors, were investigated through experiments and computational fluid simulation. local holdup the empty obtained by fiber probe pressure sensors used to validate accuracy of numerical effect number internals that arranged near wall on characteristics further studied. A unique core-annular liquid circulation (ascending region descending core region) found this column....
AbstractThe Black–Scholes (B–S) equation has been recently extended as a kind of tempered time-fractional B–S equations, which becomes an interesting mathematical model in option pricing. In this study, we provide fast numerical method to approximate the solution model. To achieve high-order accuracy space and overcome weak initial singularity exact solution, combine compact difference operator with L1-type approximation under nonuniform time steps yield scheme. The convergence proposed...
The experimental advanced superconducting tokamak (EAST) is a tokamak, which successfully achieved the first plasma discharge in 2006. major radius of EAST 1.9 m, and its central magnet field 3.5 T. In past few years, has made many achievements, such as 60-s double-null divertor configuration 1-MA plasma. 2012, 411-s long-pulse with 0.28-MA current 32-s H-mode operation was at seventh campaign. addition, various means for mitigating ELMs have also been demonstrated to facilitate operation....
Self-controlled designs, both case-crossover and self-controlled case series, are well suited for evaluating outcomes of drug-drug interactions in electronic healthcare data. Their comparative performance this context, however, is unknown.We simulated cohorts patients exposed to two drugs: a chronic drug (object) short-term (precipitant) with an associated interaction 2.0 on the odds ratio scale. We analyzed using series designs exposure precipitant within person-time object drug. Scenarios...
Abstract Accurate construction of artificial nano‐chaperones' structure is crucial for precise regulation protein conformational transformation, facilitating effective treatment proteopathy. However, how the ligand‐anchors nano‐chaperones affect spatial changes in proteins remains unclear, limiting development efficient nano‐chaperones. In this study, three types gold nanoparticles (AuNPs) with different core/ligands interface anchor structures (Au─NH─R, Au─S─R, and Au─C≡C─R, R = benzoic...
A novel numerical method is developed for solving two-dimensional linear Fredholm integral equations of the second kind by mean value theorem. In proposed algorithm, each element generated discrete matrix not required to calculate integrals, and approximate operator convergent according collectively compact theory. Convergence error analyses solution are provided. addition, an algorithm given. The reliability efficiency will be illustrated comparison with some results.
This study aims to achieve an accurate prediction of the mass transfer characteristics bubble columns under various conditions. First, numerous simulation cases are conducted explore appropriate numerical models and sizes for accurately predicting gas holdup air–water operated with superficial velocity in scope 0.01 0.23 m/s. Second, suitable approaches employed evaluate accuracy some developed aspect ratio models. Lastly, improved model considering residence time distribution is developed,...
Using the Haar wavelets to expand input signal and output signal, then using generalized wavelet operational matrix of integration, we present a method solve numerically fractional Riccati differential equations. The results comparison with other methods indicate that proposed is simple feasible.
Two numerical methods are proposed to solve nonlinear Volterra integral equations of the first kind. By using variable transformations, problem is converted into linear second These implemented by utilizing Sinc quadrature, and then reduced algebraic system equations. We state error analysis for methods, which show that these obtain exponential convergence order. Numerical examples presented confirm theoretical estimation illustrate effectiveness methods.
Matrix metal proteinases-12 (MMP-12) is a hot pharmaceutical target on the treatment of many human diseases. There's crying need for designing and finding new MMP-12 inhibitors. In this work, four machine learning approaches, support vector machine, k-nearest neighbor, C4.5 decision tree, random forest, were employed to derive statistical models from datasets with well distributed biological activities predict compound whether it inhibitor. The prediction accuracies are in range 96.15-98.08%...
In this paper, we propose a semi-implicit difference scheme for solving one-dimensional nonlinear space-fractional diffusion equations. The method is first-order accurate in time and second-order space. It uses fractional central formula the backward Euler to approximate its space derivatives, respectively. Stability convergence properties of proposed are proved with help discrete Grönwall inequality. Moreover, extend solution two-dimensional models. A fast matrix-free implementation based...
In this paper, we present a novel approach to solve nonlinear Fredholm integral equations of the second kind. This algorithm is constructed by mean value theorem and Newton iteration. Convergence error analysis numerical solutions are given. Moreover, Numerical examples show very effective simple.