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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:

2015年01期

Page:

8-

Research Field:

数学

Publishing date:

Info

Title:

A Fourier Pseudospectral Method for thePoisson Equation

Author(s):

Lv Zhongquan¹; 2; 3; Gong Yuezheng³

(1.College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)(2.College of Science,Nanjing Forestry University,Nanjing 210037,China)(3.Jiangsu Key Laboratory for NSLSCS,School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China)

Keywords:

Fourier pseudospectral method; Poisson equation; FFT

PACS:

O241

DOI:

-

Abstract:

In this paper,based on second-order Fourier spectral differentiation matrix D₂ to approximate the second derivative,we obtain a standard Fourier pseudospectral full-discretization for the Poisson equation. According to the relationship between the spectral differentiation matrix and discrete Fourier transform,we provide a fast algorithm for solving the discrete equations. Some numerical results are presented. By using the FFT algorithm,numerical experiments show that the new scheme is very effective for calculation speed and easy to practice,and it has the high accuracy,these imply that the Fourier pseudospectral method provides a new useful tool for the study of the Poisson equation.

References:

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[9]Haldenwang P,Labrosse G,Abboudi S,et al. Chebyshev 3-d spectral and 2-d pseudospectral solvers for the helmholtz equation[J]. J Comput Phys,1984,55:115-128.

Memo

Memo:

-

Common functions

Last Update: 2015-03-30