A5075003791- Numerical methods in engineering
- Fractional Differential Equations Solutions
- Electromagnetic Scattering and Analysis
- Heat Transfer and Mathematical Modeling
- Numerical methods for differential equations
- Differential Equations and Numerical Methods
- Matrix Theory and Algorithms
- Numerical methods in inverse problems
- Iterative Methods for Nonlinear Equations
- Advanced Numerical Analysis Techniques
- Material Science and Thermodynamics
- Advanced Numerical Methods in Computational Mathematics
- Composite Structure Analysis and Optimization
- Advanced Optimization Algorithms Research
- Electromagnetic Simulation and Numerical Methods
Augusta University
2023-2024
Columbus State University
2023
Alcorn State University
2018-2021
University of Southern Mississippi
2016-2017
In recent years, localized methods are proven to be very effective for solving various types of problems in scientific computing. Many researchers have successfully implemented approaches solve large-scale problems. Oscillatory radial basis functions collocation method, a global is meshless numerical method the literature. The novelty this article address computational efficiency issues oscillatory using approach elliptic partial differential equations 2D. We carry out number experiments...
The localized method is one of the popular approaches in solving large-scale problems science and engineering. In this paper, we implement particular solutions using polynomial basis functions for various nonlinear problems. To validate our proposed numerical method, present four examples regular irregular domains which are solved by solution with functions. We compared multiquadric radial function results clearly show that highly accurate, efficient, outperformed function.
Oscillatory radial basis functions collocation method (ORBF-CM) has been proven to be an effective meshless numerical for solving various linear elliptic partial differential equations (PDEs). In general, nonlinear PDEs is a daunting task. this paper, we propose using ORBF-CM. While problems, trust-region-reflective least-square and Picard iteration methods have used. Numerical experiments presented in paper clearly verify that our proposed highly accurate.
Recently, the localized oscillatory radial basis functions collocation method (L-ORBFs) has been introduced to solve elliptic partial differential equations in 2D with a large number of computational nodes. The research clearly shows that L-ORBFs is very convenient and useful for solving large-scale problems, but this numerically less accurate. In paper, we propose numerical scheme improve accuracy by adding low-degree polynomials process. results validate proposed highly accurate...