MUMBAI, India, Sept. 28 -- Intellectual Property India has published a patent application (202611089643 A) filed by Manipal University Jaipur on July 23, 2026, for System And Method For Stability Analysis And Numerical Solution Of Higher-Order Time-Dependent Delay Differential Equations.
Inventors include Dr Giriraj Methi; Ms Rupal Aggarwal; and Dr Ravi P Agarwal.
The application for the patent was published on September 25, 2026, under issue no. 39/2026.
Abstract: The present invention relates to a system and method for stability analysis and numerical solution of higher-order time-dependent delay differential equations. The invention employs Hyers-Ulam and Hyers-Ulam-Rassias stability theorems using the Picard operator with the Chebyshev norm and Gronwall’s inequality to establish the existence, uniqueness, and stability of solutions. The Haar wavelet collocation method is used to find numerical solutions of higher-order time dependent delay differential equations. The implementation of the proposed technique is shown through various applications. The proposed technique can easily handle TD-DDEs and computational complexity, including both time and space complexity. The stability analysis presented is used to examine behavior of TD-DDE’s.
Disclaimer: Curated by HT Syndication.
