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A high accuracy variant of the iterative alternating decomposition explicit method for solving the heat equation

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dc.citedby5
dc.contributor.authorSahimi M.S.en_US
dc.contributor.authorMansor N.A.en_US
dc.contributor.authorNor N.M.en_US
dc.contributor.authorNusi N.M.en_US
dc.contributor.author#Not Available# N.en_US
dc.contributor.authorAliasen_US
dc.contributor.authorid35561342900en_US
dc.contributor.authorid55880849100en_US
dc.contributor.authorid57194420119en_US
dc.contributor.authorid34969260200en_US
dc.contributor.authorid57194406199en_US
dc.contributor.authorid22733403000en_US
dc.date.accessioned2023-12-28T08:57:37Z
dc.date.available2023-12-28T08:57:37Z
dc.date.issued2006
dc.description.abstractWe consider three level difference replacements of parabolic equations focusing on the heat equation in two space dimensions. Through a judicious splitting of the approximation, the scheme qualifies as an alternating direction implicit (ADI) method. Using the well known fact of the parabolic-elliptic correspondence, we shall derive a two stage iterative procedure employing a fractional splitting strategy applied alternately at each intermediate time step to the one dimensional heat equation. As the basis of derivation is the unconditionally stable (4,2) accurate ADI scheme, this method is convergent, computationally stable and highly accurate. � 2006 Inderscience Enterprises Ltd.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.1504/ijspm.2006.009011
dc.identifier.epage49
dc.identifier.issue01/02/2023
dc.identifier.scopus2-s2.0-78649831338
dc.identifier.spage45
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-78649831338&doi=10.1504%2fijspm.2006.009011&partnerID=40&md5=1a8d6e40b18f9b48e65e9ed72d105c54
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/29773
dc.identifier.volume2
dc.pagecount4
dc.sourceScopus
dc.sourcetitleInternational Journal of Simulation and Process Modelling
dc.subjectalternating direction implicit (ADI) method
dc.subjectfractional splitting
dc.subjectiterative alternating decomposition explicit (IADE) method
dc.titleA high accuracy variant of the iterative alternating decomposition explicit method for solving the heat equationen_US
dc.typeArticleen_US
dspace.entity.typePublication
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