MUMBAI, India, Feb. 13 -- Intellectual Property India has published a patent application (202641008876 A) filed by Sr University, Warangal, Telangana, on Jan. 29, for 'variational iteration method with adaptive error control for nonlinear dynamic system simulation.'

Inventor(s) include Swapna. CH; Dr. C. Balarama Krishna; and Dr. T. Kiran Kumar.

The application for the patent was published on Feb. 13, under issue no. 07/2026.

According to the abstract released by the Intellectual Property India: "Variational Iteration Method with Adaptive Error Control for Nonlinear Dynamic System Simulation The Variational Iteration Method (VIM) has emerged as a powerful analytical technique for solving nonlinear differential equations, but its conventional implementation often suffers from slow convergence and uncontrolled approximation errors when applied to complex dynamic systems. To address these challenges, this work proposes an enhanced Variational Iteration Method with Adaptive Error Control (VIM-AEC) for the accurate and efficient simulation of nonlinear dynamic systems. The proposed approach introduces an adaptive correction functional that incorporates local residual-based error estimators, enabling dynamic adjustment of iteration parameters to minimize truncation and convergence errors. Unlike traditional VIM, which applies a fixed correction process, the adaptive framework continuously monitors solution accuracy and automatically adjusts the iteration step size and Lagrange multipliers to achieve rapid convergence with guaranteed precision. The method is particularly well-suited for strongly nonlinear, stiff, and chaotic dynamic systems, where conventional numerical solvers may either fail or require high computational cost. Numerical experiments on benchmark nonlinear oscillators, predator-prey dynamics, and chaotic attractors demonstrate that VIM-AEC outperforms classical VIM and standard numerical integration methods in terms of stability, computational efficiency, and accuracy."

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