A5101820488- Fractional Differential Equations Solutions
- Differential Equations and Numerical Methods
- Numerical methods in engineering
- Numerical methods for differential equations
- Advanced Mathematical Modeling in Engineering
- Advanced Numerical Methods in Computational Mathematics
- Iterative Methods for Nonlinear Equations
- Numerical methods in inverse problems
- Nonlinear Differential Equations Analysis
- Advanced Optimization Algorithms Research
- Differential Equations and Boundary Problems
- Model Reduction and Neural Networks
- Medical Image Segmentation Techniques
- Computational Fluid Dynamics and Aerodynamics
- Matrix Theory and Algorithms
- Electromagnetic Simulation and Numerical Methods
- Mathematical functions and polynomials
- Nonlinear Waves and Solitons
- Optimization and Variational Analysis
- Nonlinear Partial Differential Equations
- Stability and Controllability of Differential Equations
- Sparse and Compressive Sensing Techniques
- Solidification and crystal growth phenomena
- Magnetic Properties and Applications
- Orbital Angular Momentum in Optics
Harbin Institute of Technology
2015-2024
Heilongjiang Institute of Technology
2012-2022
Changshu Institute of Technology
2020-2022
Hubei Engineering University
2022
University of South Florida
2020
This study investigates Dirichlet boundary condition related to a class of nonlinear parabolic problem with nonnegative $L^1$-data, which has variable-order fractional $p$-Laplacian operator. The existence and uniqueness renormalized solutions entropy the equation is proved. To address significant challenges encountered during this process, we use approximation energy methods. In process proving, well-posedness weak been established initially, while also establishing comparative result solutions.
Journal Article Superconvergence of the local discontinuous Galerkin method for linear fourth-order time-dependent problems in one space dimension Get access Xiong Meng, Meng * Department Mathematics, Harbin Institute Technology, Harbin, Heilongjiang 150001, People's Republic China *Corresponding author: xiongmeng@hit.edu.cn Search other works by this author on: Oxford Academic Google Scholar Chi-Wang Shu, Shu Division Applied Brown University, Providence, RI 02912, USA, shu@dam.brown.edu...
In this article, we introduce a new space‐time spectral collocation method for solving the one‐dimensional sine‐Gordon equation. We apply discretizing spatial derivatives, and then use time integration of resulting nonlinear second‐order system ordinary differential equations (ODE). Our formulation has high‐order accurate in both space time. Optimal priori error bounds are derived L 2 ‐norm semidiscrete formulation. Numerical experiments show that our have exponential rates convergence ©...
This paper is devoted to a new numerical method for fractional Riccati differential equations. The combines the reproducing kernel and quasilinearization technique. Its main advantage that it can produce good approximations in larger interval, rather than local vicinity of initial position. Numerical results are compared with some existing methods show accuracy effectiveness present method.
The main aim of this paper is to propose a new approach for Atangana-Baleanu variable order fractional problems. We introduce reproducing kernel function with polynomial form. advantage that its derivatives can be calculated explicitly. Based on function, collocation technique developed problems in the sense. To show accuracy and effectiveness our approach, we provide three numerical experiments.