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Title: Convergence analyses of crank-nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables
Authors: Morrakot Khebchareon
Amiya Kumar Pani
Graeme Fairweather
Keywords: Mathematics
Issue Date: 1-Jan-2016
Abstract: © 2016 Institute for Scientific Computing and Information. 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 Hj norms in space. Also, L∞ estimates in space are derived.
ISSN: 17055105
Appears in Collections:CMUL: Journal Articles

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