@Article{NMTMA-4-2,
author = {},
title = {Efficient Chebyshev Spectral Method for Solving Linear Elliptic PDEs Using Quasi-Inverse Technique},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2011},
volume = {4},
number = {2},
pages = {197--215},
abstract = {<p style="text-align: justify;">We present a systematic and efficient Chebyshev spectral method
using quasi-inverse technique to directly solve the second order
equation with the homogeneous Robin boundary conditions and the
fourth order equation with the first and second boundary conditions.
The key to the efficiency of the method is to multiply quasi-inverse
matrix on both sides of discrete systems, which leads to band
structure systems. We can obtain high order accuracy with less
computational cost. For multi-dimensional and more complicated
linear elliptic PDEs, the advantage of this methodology is obvious.
Numerical results indicate that the spectral accuracy is achieved
and the proposed method is very efficient for 2-D high order
problems.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2011.42s.5},
url = {https://global-sci.com/article/90693/efficient-chebyshev-spectral-method-for-solving-linear-elliptic-pdes-using-quasi-inverse-technique}
}