Liana, Ema Vika2024-02-282024-02-282023-11PerpustakaanElfitrahttps://repository.unri.ac.id/handle/123456789/11332This article project discusses a new family of optimal fourth-order iterative method to solve a nonlinear equation. Analytically using the Taylor expansion and geometric series that the iterative method has a convergence order of four and efficiency index is 1.587. Comparisons of computational tests shows that a new family of optimal fourth-order iterative methods can be used as an alternative in solving nonlinear equations.enIterative methodsnonlinear equationorder of convergenceoptimal methodfourth-order methodArticle