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1 results

  • Mixed Fourier-Jacobi Spectral Method for Two-Dimensional Neumann Boundary Value Problems

  • Xu-Hong Yu, Zhong-Qing Wang
  • Journal:
    East Asian Journal on Applied Mathematics / Volume 1 / Issue 3 / August 2011
    Published online by Cambridge University Press:
    28 May 2015, pp. 284-296
    Print publication:
    August 2011

  • In this paper, we propose a mixed Fourier-Jacobi spectral method for two dimensional Neumann boundary value problem. This method differs from the classical spectral method. The homogeneous Neumann boundary condition is satisfied exactly. Moreover, a tridiagonal matrix is employed, instead of the full stiffness matrix encountered in the classical variational formulation. For analyzing the numerical error, we establish the mixed Fourier-Jacobi orthogonal approximation. The convergence of proposed scheme is proved. Numerical results demonstrate the efficiency of this approach.