Nkemzi, B. and Jung, M. (2020) The Fourier-Finite-Element Method for Poisson equation in Three-Dimensional Axisymmetric Domains with Edges: Computing the Edge Flux Intensity Functions. Journal of Numerical Mathematics, 28, 75-98.
https://doi.org/10.1515/jnma-2019-0002

has been cited by the following article:

• TITLE: The Numerical Solution of Poisson Equation with Dirichlet Boundary Conditions

  AUTHORS: Peng Guo

  KEYWORDS: Poisson Equation, Finite Difference Method, Chebyshev, Spectral Method

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.12, December 9, 2021

  ABSTRACT: This work mainly focuses on the numerical solution of the Poisson equation with the Dirichlet boundary conditions. Compared to the traditional 5-point finite difference method, the Chebyshev spectral method is applied. The numerical results show the Chebyshev spectral method has high accuracy and fast convergence; the more Chebyshev points are selected, the better the accuracy is. Finally, the error of two numerical results also verifies that the algorithm has high precision.