Rajni SharmaAshu BahlRanjita Guglani2026-02-132026-02-132023https://doi.org/10.1016/j.rico.2023.100270http://davjalandhar.ndl.gov.in/handle/123456789/191Inthiscontribution, 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 attractionenArticle