Convergence analyses of crank-nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables

© 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 th...

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Main Authors:	Morrakot Khebchareon, Amiya Kumar Pani, Graeme Fairweather
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84945892780&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55983
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-55983
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spelling	th-cmuir.6653943832-559832018-09-05T03:07:04Z Convergence analyses of crank-nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables Morrakot Khebchareon Amiya Kumar Pani Graeme Fairweather Mathematics © 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. 2018-09-05T03:07:03Z 2018-09-05T03:07:03Z 2016-01-01 Journal 17055105 2-s2.0-84945892780 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84945892780&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55983
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Morrakot Khebchareon Amiya Kumar Pani Graeme Fairweather Convergence analyses of crank-nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables
description	© 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.
format	Journal
author	Morrakot Khebchareon Amiya Kumar Pani Graeme Fairweather
author_facet	Morrakot Khebchareon Amiya Kumar Pani Graeme Fairweather
author_sort	Morrakot Khebchareon
title	Convergence analyses of crank-nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables
title_short	Convergence analyses of crank-nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables
title_full	Convergence analyses of crank-nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables
title_fullStr	Convergence analyses of crank-nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables
title_full_unstemmed	Convergence analyses of crank-nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables
title_sort	convergence analyses of crank-nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84945892780&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55983
_version_	1681424607063572480

Convergence analyses of crank-nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables

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