Mathematics

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Browsing Mathematics by Author "Rajni, Sharma"

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    Optima leighth-order multiple root finding iterative methods using bi variate weight function
    (ElsevierB.V, 2023) Rajni, Sharma; Ashu Bahl; Ranjita Guglani
    Inthiscontribution, anovel eighth-order scheme ispresentedfor solvingnonlinearequations withmultipleroots.Theproposedschemecomprisesof threestepswiththemodifiedNewton methodas its first stepfollowedbytwoweightedNewtonsteps involvingoneunivariateand onebivariatefunctionrespectively.Analysisofconvergenceconfirmsthatthepresentedscheme obtains optimal computational order of convergence. The efficiencyof presented scheme is comparednumericallywith recent eighth-ordermethods. Functions like populationgrowth problem,Newton’sbeamproblem, etc.,havebeenconsideredfornumerical experimentation. For the comparative study in the complex plane, we employed the concept of basins of attraction