A novel memory iterative method using hermite interpolation for nonlinear equations
*Nikita ChibCorresponding authornikitachib208@gmail.comDepartment of MathematicsUniversity Institute of Sciences (UIS)Chandigarh UniversityMohali, Punjab, 140413, IndiaView full profile → , Surjeet Singh Chauhan (Gonder)surjeetschauhan@yahoo.comDepartment of MathematicsUniversity Institute of Sciences (UIS)Chandigarh UniversityMohali, Punjab, 140413, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Feb 2026
- Published Online:
- 27 Aug 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2647
- Pages:
- 1–7
Abstract
Nonlinear equations are used to model the real world phenomenon which are not adequately represented by linear equations. A three-stage iterative algorithm applying memory is developed in this study. This research proposes a three-step iteration scheme enhanced with memory scheme with squared parameter using Hermite interpolation for solving nonlinear equations. Also, we prove some results related to convergences of this iterative method.
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References
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