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On the Solution of Multi-Dimensional Nonlinear Integral Equation with Modified Newton Method

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dc.contributor.authorHameed, Hameed Husamen_US
dc.contributor.authorEshkuvatov, Z. K.en_US
dc.contributor.authorLong, N. M. A. Niken_US
dc.date.accessioned2024-05-28T04:34:38Z
dc.date.available2024-05-28T04:34:38Z
dc.date.issued2017
dc.descriptionVolume 14, Number 11en_US
dc.description.abstractIn this note, multi-dimensional nonlinear integral equations (multi-dimensional NIEs) in Rn is considered. Implementing modified Newton method (Modified NM) reduces multi-dimensional NIEs into multi-dimensional linear integral equations (multi-dimensional LIEs), which can be solved by discritization method. Quadrature method together with collocation are used to find values of unknown functions. Existence and uniqueness solution of the problems are shown. The rate of convergence of the proposed method is proved using the principle of majorant function. Finally, numerical examples are provided and it reveals that proposed method is both accurate and effective as well as comparisons with other methods are also presented.en_US
dc.identifier.doi10.1166/jctn.2017.6938
dc.identifier.epage6
dc.identifier.issn1546-1963
dc.identifier.issue11
dc.identifier.spage1
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/5902
dc.identifier.volume14
dc.language.isoen_USen_US
dc.publisherAmerican Scientific Publishersen_US
dc.relation.ispartofJournal of Computational and Theoretical Nanoscienceen_US
dc.subjectThe Modified Newton Method, Nonlinear Multi-Dimensional Integral Equations, Quadrature Formula, The Majorant Functionen_US
dc.titleOn the Solution of Multi-Dimensional Nonlinear Integral Equation with Modified Newton Methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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