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

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: Khebchareon M., Pani A., Fairweather G.
Format: Journal
Published: 2017
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84945892780&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/42603
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Institution: Chiang Mai University
id th-cmuir.6653943832-42603
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spelling th-cmuir.6653943832-426032017-09-28T04:27:59Z Convergence analyses of crank-nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables Khebchareon M. Pani A. Fairweather G. © 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 H j norms in space. Also, L ∞ estimates in space are derived. 2017-09-28T04:27:59Z 2017-09-28T04:27:59Z 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/6653943832/42603
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
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 H j norms in space. Also, L ∞ estimates in space are derived.
format Journal
author Khebchareon M.
Pani A.
Fairweather G.
spellingShingle Khebchareon M.
Pani A.
Fairweather G.
Convergence analyses of crank-nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables
author_facet Khebchareon M.
Pani A.
Fairweather G.
author_sort Khebchareon M.
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 2017
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84945892780&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/42603
_version_ 1681422220735283200

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