@Article{IJNAM-13-58,
author = {M. Khebchareon, A. K. Pani and G. Fairweather},
title = {Convergence Analyses of Crank-Nicolson Orthogonal Spline Collocation Methods for Linear Parabolic Problems in Two Space Variables},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2016},
volume = {13},
number = {1},
pages = {58--72},
abstract = {<p style="text-align: justify;">The Crank-Nicolson (CN) orthogonal spline collocation method and its alternating
direction implicit (ADI) counterpart are considered for the approximate solution of a class of
linear parabolic problems in two space variables. It is proved that both methods are second order
accurate in time and of optimal order in certain $H^j$ norms in space. Also, $L^∞$ estimates in space
are derived.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/426.html}
}