A5101465246- Differential Equations and Numerical Methods
- Optimization and Variational Analysis
- Fractional Differential Equations Solutions
- Numerical methods in inverse problems
- Numerical methods in engineering
- Contact Mechanics and Variational Inequalities
- Numerical methods for differential equations
- Advanced Optimization Algorithms Research
- Image and Signal Denoising Methods
- Nonlinear Differential Equations Analysis
- Agronomic Practices and Intercropping Systems
- Differential Equations and Boundary Problems
- Polynomial and algebraic computation
- Thermoelastic and Magnetoelastic Phenomena
- Model Reduction and Neural Networks
- Electromagnetic Scattering and Analysis
- Fluid Dynamics Simulations and Interactions
- CRISPR and Genetic Engineering
- Soil, Finite Element Methods
- Optimization and Mathematical Programming
- Fixed Point Theorems Analysis
- Microtubule and mitosis dynamics
- Topology Optimization in Engineering
- Simulation and Modeling Applications
- Legume Nitrogen Fixing Symbiosis
Ningxia University
2010-2025
Ministry of Education of the People's Republic of China
2023
Tianjin University
2021
China Medical University
2020
Bohai University
2014
ABSTRACT This study investigates the solution of an ill‐posed time‐fractional order Schrödinger equation using a mollification regularization technique Dirichlet kernel. The regularized is obtained through convolution kernel with real measured data. Estimations convergence are derived based on parameter selection criteria priori and posteriori. efficiency methodology was successfully verified by simulation tests.
Biological improvement is a sustainable approach for saline–alkali land amelioration and utilization. Echinochloa frumentacea (Roxb.) link salt-tolerant gramineous forage, which plays an important role in improving land. The Hetao Ningxia Plain located the upper–middle reaches of Yellow River with large area soil, where E. has potential applications Three experiments were conducted on Pingluo County, Ningxia, including soil-leaching pots as well monoculture or intercropping involving fields....
We study the inverse issues for heat equations with spatial‐dependent source and time‐dependent source, respectively. In this work, identification are ill‐posed, numerical solutions (if they exist) not continuously dependent on data. A mollification regularization method Dirichlet kernel is proposed to tackle presented problems. Convergence analyses carried out via two parameter selection rules (a priori a posteriori), Ultimately, series of experiments verify our theoretical results.
We consider solving the Cauchy problem of Schrödinger equation with potential-free field by a mollification regularization method in this work. By convolving measured data Dirichlet kernel, ill-posed case is turned into well-posed one. Convergent estimates are gained via priori and posteriori parameter selection rules. Finally, three simulation experiment results shown to prove feasibility stability our presented procedure.
Using the asymmetric discretization technique, an explicit finite difference scheme is constructed for one‐dimensional spatial fractional diffusion equations (FDEs). The derivative approximated by weighted and shifted Grünwald operator. can be solved explicitly calculating unknowns in different nodal‐point sequences at odd time‐step even time‐step. uniform stability proven error between discrete solution analytical theoretically estimated. Numerical examples are given to verify theoretical analysis.
<p style='text-indent:20px;'>Polynomial optimization problem with second-order cone complementarity constraints (SOCPOPCC) is a special case of mathematical program (SOCMPCC). In this paper, we consider how to apply Lasserre's type semidefinite relaxation method solve SOCPOPCC. To end, first reformulate SOCPOPCC equivalently as polynomial and then the reformulated method. For SOCPOPCC, present another reformulation optimization, which lower degree. SDP applied new optimization....
In this paper, well-posedness for parametric generalized strong vector quasi-equilibrium problems is studied. The corresponding concept of in the sense also investigated problem. Under some suitable conditions, we establish characterizations
A preservative scheme is presented and analyzed for the solution of a quenching type convective-diffusion problem modeled through one-sided Riemann-Liouville space-fractional derivatives. Properly weighted Gr\"unwald formulasare employed discretization fractional derivative. forward difference approximation consideredin convective term nonlinear equation. Temporal steps are optimized via an asymptotic arc-length monitoring mechanism till point. Under suitable constraints on spatial-temporal...