MUMBAI, India, April 17 -- Intellectual Property India has published a patent application (202641043537 A) filed by Dr. B R Sreedhar Dr. Suresh. P; Dr. A. Padma; M Amarnath; Dr. Swatmaram; Dr. G. Narsimlu; Dr. A. Vijaya Lakshmi; and Andoju Srinivasulu, Hyderabad, Telangana, on April 6, for 'a novel algorithm for real-time numerical solution of nonlinear differential equations.'

Inventor(s) include Dr. B R Sreedhar; Dr. Suresh. P; Dr. A. Padma; M Amarnath; Dr. Swatmaram; Dr. G. Narsimlu; Dr. A. Vijaya Lakshmi; and Andoju Srinivasulu.

The application for the patent was published on April 17, under issue no. 16/2026.

According to the abstract released by the Intellectual Property India: "The invention provides a novel Dynamic Adaptive Real-Time Integrator (DARTI) algorithm for solving nonlinear ordinary differential equations under strict real-time constraints. Traditional numerical methods suffer from unpredictable execution times and poor stiffness handling, rendering them unsuitable for embedded real-time systems such as robotics, automotive controls, and industrial automation. DARTI integrates a variable-order multistep predictor-corrector scheme with an embedded error estimator and a PID-based step-size regulator that simultaneously optimizes accuracy and computational cost. A unique real-time constraint enforcer monitors processor cycles and triggers an instantaneous fallback to a deterministic low-order integrator if deadlines are at risk, ensuring every step completes within the user-specified time window. Stiffness detection is performed via an efficient spectral indicator, enabling proactive order reduction without expensive matrix operations. The algorithm supports fixed-point arithmetic for microcontrollers and guarantees bounded global error while delivering 2-5 performance gains over conventional adaptive solvers. It is fully deterministic, memory-efficient, and portable across platforms. The invention addresses the long-standing gap between numerical accuracy and real-time determinism, enabling high-fidelity simulation and control of complex nonlinear systems in resource-constrained environments. Detailed flowcharts, architecture diagrams, and performance comparisons are provided. The method finds wide application in safety-critical real-time domains where both precision and timing guarantees are mandatory."

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