Publication:
Construction of Cubature Formula for Double Integration with Algebraic Singularity by Spline Polynomial

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dc.ConferencecodeUniv Putra Malaysia, Inst Math Res, IEEE Women Engn, Akademi Sains Malaysia, Bandung Inst Technol, Vietnam Acad Sci & Technol, Inst Math
dc.ConferencedateAUG 25-27, 2015
dc.ConferencelocationKuala Lumpur, MALAYSIA
dc.Conferencename7th International Conference on Research and Education in Mathematics (ICREM)
dc.contributor.authorBichi, SLen_US
dc.contributor.authorEshkuvatov, ZKen_US
dc.contributor.authorLong, NMANen_US
dc.contributor.authorIsmail, Fen_US
dc.date.accessioned2024-05-29T02:49:52Z
dc.date.available2024-05-29T02:49:52Z
dc.date.issued2015
dc.description.abstractIn this note, singular integration problems of the form H alpha(h) = integral integral(Omega) h(x,y)/vertical bar(x) over bar - (x) over bar (0)vertical bar(2-alpha)dA, 0 <= alpha <= 1, where Omega = [a(1), a(2)] x [b(1), b(2)], (x) over bar = (x, y) is an element of Omega and fixed point (x) over bar (0) = (x(0), y(0)) is an element of Omega; is considered. The density function h (x, y) is assumed given, continuous and smooth on the rectangle Omega and belong to the class of functions C-2,C-alpha(Omega). Cubature formula for double integrals with algebraic singularity on a rectangle is constructed using the modified spline function S-Omega( P) of type (0, 2). Highly accurate numerical results for the proposed method is given for both tested density function h (x, y) as linear, quadratic and absolute value functions. The results are in line with the theoretical findings.
dc.identifier.epage198
dc.identifier.scopusWOS:000379385800038
dc.identifier.spage193
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/10953
dc.languageEnglish
dc.language.isoen_US
dc.publisherIEEEen_US
dc.relation.ispartof2015 International Conference On Research And Education In Mathematics (Icrem7)
dc.sourceWeb Of Science (ISI)
dc.titleConstruction of Cubature Formula for Double Integration with Algebraic Singularity by Spline Polynomial
dc.typeProceedings Paperen_US
dspace.entity.typePublication

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