MUMBAI, India, July 24 -- Intellectual Property India has published a patent application (202641084279 A) filed by Keshav Memorial Institute Of Technology on July 09, 2026, for A High-Precision Iterative Scheme For Finding Zeros Of Transcendental Equations Using The Inverse Tangent Function.
Inventors include Dr. N L Bhikshu; Dr. G Mahesh; Ms. Gayathri Devi Nangineni; Dr. J Pramada; Ms. Geetha Pc; and Mr. Baswaraj Dewarasetty.
The application for the patent was published on July 17, 2026, under issue no. 29/2026.
Abstract: This project presents an innovative method for identifying non-zero positive roots of nonlinear transcendental equations. The approach combines the inverse tangent function with the Newton–Raphson method. It is implemented in Python and evaluated across various problem models to showcase its effectiveness. A series of numerical experiments have been performed, and the results suggest that the proposed method is superior and more efficient than many traditional techniques. The validity of the approach is further confirmed through error analysis, and the method's convergence is demonstrated to be quadratic.
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