A Spectral Method for Parabolic Differential Equations
Numerical Analysis
2012-04-02 v1
Abstract
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 R^2 and R^3.
Keywords
Cite
@article{arxiv.1203.6709,
title = {A Spectral Method for Parabolic Differential Equations},
author = {Kendall Atkinson and Olaf Hansen and David Chien},
journal= {arXiv preprint arXiv:1203.6709},
year = {2012}
}
Comments
25 pages, 15 figures