MUMBAI, India, Jan. 23 -- Intellectual Property India has published a patent application (202531102599 A) filed by National Institute Of Technology, Jamshedpur, Jharkhand, on Oct. 24, 2025, for 'ai-enhanced cubic convergence runge-kutta algorithms for solving initial value problems of caputo fractional differential equations.'
Inventor(s) include Dr. Pawan Kumar Shaw; Dr. Anil Kumar; and Dr. Sunil Kumar.
The application for the patent was published on Jan. 23, under issue no. 04/2026.
According to the abstract released by the Intellectual Property India: "The invention discloses AI-Enhanced Cubic Convergence Runge-Kutta Algorithms for solving initial value problems (IVPs) of Caputo-type fractional differential equations. The system introduces two intelligent numerical schemes - the Fractional Runge-Kutta Third-Order (FRK3) and the Fractional Strong Stability Preserving Runge-Kutta Third-Order (FSSRK3) - that achieve third-order (cubic) convergence and superior stability compared to conventional fractional solvers. An embedded artificial intelligence module dynamically optimizes step-size and algorithmic coefficients through reinforcement learning and error-based adaptive control, ensuring precise and stable solutions without linearization or perturbation. The invention reduces local truncation error, preserves nonlinear system characteristics, and enhances computational efficiency. It is applicable to engineering, biomedical, scientific, and IoT-based fractional modelling environments, offering a robust and self-learning numerical framework for real-time and high-precision computational applications."
Disclaimer: Curated by HT Syndication.
