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ON TWO-STEP PARALLEL COMPUTER ALGORITHM FOR ALL NONLINEAR EQUATIONS ROOTS WITH ENGINEERING APPLICATIONS

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dc.contributor.authorShams, Mudassir
dc.contributor.authorKausar, Nasreen
dc.contributor.authorAgarwal, Praveen
dc.contributor.authorAlqahtani, Nouf Abdulrahman
dc.contributor.authorJeelani, Mdi Begum
dc.date.accessioned2026-06-27T15:33:01Z
dc.date.issued2026
dc.description.abstractIn this paper, we develop an optimal family of two-step single root finding methods with order 4. Furthermore, we modify these numerical schemes to locate all nonlinear real and complex roots at the same time. The order of convergence is demonstrated using convergence analysis to be four for a single root-finding technique and for families of parallel computer methods. Numerical test examples reveal that the developed parallel techniques achieve superior stability and consistency compared to existing approaches.en
dc.description.sponsorshipDeanship of scientific research at Imam Mohammad Ibn Saud Islamic University (IMSIU) [IMSIU-DDRSP2603]
dc.description.urihttps://doi.org/10.1142/s0218348x26400141
dc.identifier.doi10.1142/s0218348x26400141
dc.identifier.eissn1793-6543
dc.identifier.issn0218-348X
dc.identifier.urihttps://hdl.handle.net/20.500.14981/71827
dc.identifier.wos001719148000001
dc.language.isoeng
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD
dc.relation.ispartofFRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
dc.rightsopenAccess
dc.subjectPolynomial
dc.subjectSimultaneous Methods
dc.subjectComputational Time
dc.subjectFractal
dc.subjectConvergence
dc.subjectPercentage Computational Cost
dc.subjectITERATIVE METHODS
dc.subjectZEROS
dc.subjectMathematics
dc.subjectScience & Technology - Other Topics
dc.titleON TWO-STEP PARALLEL COMPUTER ALGORITHM FOR ALL NONLINEAR EQUATIONS ROOTS WITH ENGINEERING APPLICATIONS
dc.typeArticle; Early Access
dspace.entity.typePublication
local.import.sourceWOS

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