Stable pseudospectral penalty boundary treatments for heat equations

• Main Authors: Lin, Shih-Ting, 林詩婷
• Other Authors: 賴明治
• Format: Others
• Language: en_US
• Published: 2013
• Online Access: http://ndltd.ncl.edu.tw/handle/91460445028457720945

碩士 === 國立交通大學 === 應用數學系數學建模與科學計算碩士班 === 101 === A method to impose boundary conditions for pseudospectral approximations to heat equations is suggested. In this study, the boundary conditions are weakly enforced to the scheme with the penalty parameters which are determined analytically by using the discrete energy estimate. Numerical experiments based on the proposed scheme are performed including homogeneous heat equations and inhomogeneous heat equations where exact solutions exist, and the numerical results show that the accuracy as we expected.