A new modification of an iterative method based on inverse polynomial for solving Cauchy problems

This paper introduces a new modification to an iterative method for solving Cauchy problems (IVPs) based on inverse polynomial technique. The proposed is proven be consistent, stable, and convergent. We also demonstrate the consistency property of One-stage scheme Two-stage scheme, as well stability method. To validate accuracy our approach, we conduct several numerical experiments present results graphically. Our findings show that outperforms existing approaches in terms efficiency. Additionally, discuss implications future research this field. Overall, provides valuable contribution solution IVPs lays groundwork further exploration area.