- Numerical methods in engineering
- Advanced Numerical Methods in Computational Mathematics
- Advanced Numerical Analysis Techniques
- Electromagnetic Scattering and Analysis
- Fluid Dynamics Simulations and Interactions
- Electromagnetic Simulation and Numerical Methods
- Matrix Theory and Algorithms
- Numerical methods for differential equations
- Engineering and Agricultural Innovations
- Dam Engineering and Safety
- Magnetic Bearings and Levitation Dynamics
- Differential Equations and Numerical Methods
- Geotechnical Engineering and Underground Structures
- Model Reduction and Neural Networks
- Differential Equations and Boundary Problems
- Fractional Differential Equations Solutions
- Advanced Mathematical Modeling in Engineering
- Ultrasonics and Acoustic Wave Propagation
University of Southern Mississippi
2009-2022
National Taiwan University
2022
Taiyuan University of Technology
2018
University of Electronic Science and Technology of China
2017
Abstract A standard approach for solving linear partial differential equations is to split the solution into a homogeneous and particular solution. Motivated by method of fundamental solutions equations, we propose similar using approximate inhomogeneous without need finding This leads much simpler numerical scheme with accuracy traditional approach. To demonstrate simplicity new approach, three examples are given excellent results. © 2010 Wiley Periodicals, Inc. Numer Methods Partial...
We apply the local method of fundamental solutions (LMFS) to boundary value problems (BVPs) for Laplace and homogeneous biharmonic equations in annuli.By appropriately choosing collocation points, LMFS discretization yields sparse block circulant system matrices.As a result, matrix decomposition algorithms (MDAs) fast Fourier transforms (FFTs) can be used solution systems resulting considerable savings both computational time storage requirements.The accuracy its ability solve large scale...