A spectral method for parabolic differential equations

作者：Atkinson Kendall^*; Hansen Olaf; Chien David

来源：Numerical Algorithms, 2013, 63(2): 213-237.

DOI：10.1007/s11075-012-9620-8

• Spectral method
• Parabolic equation
• Multivariable polynomial approximation

We present a spectral method for parabolic partial differential equations with zero Dirichlet boundary conditions. The region Omega for the problem is assumed to be simply-connected and bounded, and its boundary is assumed to be a smooth surface. An error analysis is given, showing that spectral convergence is obtained for sufficiently smooth solution functions. Numerical examples are given in both a%26quot;e(2) and a%26quot;e(3).

• 出版日期2013-6