Rajni SharmaAshu BahlRanjita Guglani2026-02-122026-02-122024https://doi.org/10.1063/5.0210245http://davjalandhar.ndl.gov.in/handle/123456789/189In this contribution, a novel scheme of multiple root finders for nonlinear equations with the univariate and bivariate weight functions is proposed. The basic requirement of the presented scheme is the known value of ’m’ (multiplicity of the root). Analysis of convergence is given to show that the proposed family achieves eighth-order convergence. Numerical experimentation is done to demonstrate accuracy and computational efficiency of the scheme. In addition, the obtained results show that the proposed scheme has an edge-over other considered eighth-order methodsenArticle