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The higher accuracy fourth-order IADE algorithm

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dc.citedby5
dc.contributor.authorAbu Mansor N.en_US
dc.contributor.authorZulkifle A.K.en_US
dc.contributor.authorAlias N.en_US
dc.contributor.authorHasan M.K.en_US
dc.contributor.authorBoyce M.J.N.en_US
dc.contributor.authorid55880849100en_US
dc.contributor.authorid7801341335en_US
dc.contributor.authorid22733403000en_US
dc.contributor.authorid9633140400en_US
dc.contributor.authorid55881107400en_US
dc.date.accessioned2023-12-29T07:43:54Z
dc.date.available2023-12-29T07:43:54Z
dc.date.issued2013
dc.description.abstractThis study develops the novel fourth-order iterative alternating decomposition explicit (IADE) method of Mitchell and Fairweather (IADEMF4) algorithm for the solution of the one-dimensional linear heat equation with Dirichlet boundary conditions. The higher-order finite difference scheme is developed by representing the spatial derivative in the heat equation with the fourth-order finite difference Crank-Nicolson approximation. This leads to the formation of pentadiagonal matrices in the systems of linear equations. The algorithm also employs the higher accuracy of the Mitchell and Fairweather variant. Despite the scheme's higher computational complexity, experimental results show that it is not only capable of enhancing the accuracy of the original corresponding method of second-order (IADEMF2), but its solutions are also in very much agreement with the exact solutions. Besides, it is unconditionally stable and has proven to be convergent. The IADEMF4 is also found to be more accurate, more efficient, and has better rate of convergence than the benchmarked fourth-order classical iterative methods, namely, the Jacobi (JAC4), the Gauss-Seidel (GS4), and the successive over-relaxation (SOR4) methods. � 2013 N. Abu Mansor et al.en_US
dc.description.natureFinalen_US
dc.identifier.ArtNo236548
dc.identifier.doi10.1155/2013/236548
dc.identifier.scopus2-s2.0-84885449372
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84885449372&doi=10.1155%2f2013%2f236548&partnerID=40&md5=9718bbf118de653be4d3bfafe1de6a9a
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/29993
dc.identifier.volume2013
dc.relation.ispartofAll Open Access; Gold Open Access; Green Open Access
dc.sourceScopus
dc.sourcetitleJournal of Applied Mathematics
dc.titleThe higher accuracy fourth-order IADE algorithmen_US
dc.typeArticleen_US
dspace.entity.typePublication
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