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Latest Research
Browse all articlesTargeting the smallest root : A comparative study of Ramanujan’s method and classical root-finding algorithms
Kiran Singh Sisodiya (Bais), Lalit Kumar, Santosh Kumar, Navjot Kaur
In this paper: This research represents an organized comparison of the efficiency of classical iterative root-finding algorithms like Newton-Raphson, secant and bisection with Ramanujan technique which is more speci...
Stability and convergence of a modified Picard-Ishikawa hybrid iterative process
Manbhalang Chyne, Naveen Kumar
In this paper: In this work, a variant of the Picard–Ishikawa hybrid scheme is introduced which is designed for approximation of fixed points for contractive mappings in Banach spaces. The corresponding iterative se...
Neuro-quantum iterative algorithms : A hybrid convergence framework for fixed point problems in functional spaces
Vishali Kansal, Naveen Kumar
In this paper: This paper presents a ground-breaking framework—Neuro-Quantum Iterative Algorithm (NQIA)—that unifies neural meta-learning with quantum-inspired operator dynamics to solve fixed point problems in abst...
A novel modified Picard-Krasnoselskii iterative algorithm with optimized convergence
Ritu Saharan, Naveen Kumar
In this paper: We present a novel fixed-point iterative algorithm, termed as Modified Picard-Krasnoselskii Hybrid Algorithm, abbreviated as PKm algorithm (m denotes the modification level). This new process is devel...
Machine learning approaches for solving nonlinear differential equations in sustainability science
Monika Kalra, Kiran Utreja, Krishan Kumar
In this paper: Sustainability scientists often work with complex, nonlinear systems that are governed by differential equations. Traditional numerical methods are error-free, but when used in dynamic or uncertain en...
Some results in multiplicative-modular b-metric spaces and their applications
Parveen Tyagi, Surjeet Singh Chauhan (Gonder)
In this paper: This article introduces a novel Multiplicative-Modular b-Metric Space (MMbMS), which generalizes two Metric Spaces by relaxing the Triangle Inequality. We establish its properties and prove the Banach...
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