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https://doi.org/10.4236/jamp.2017.511182

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.