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Computational Study of 11th-Century 'Ganita-Yukti-Bhasha' Manuscripts Reveals Early Sanskrit Algorithms for Modeling Non-Linear Fluid Oscillations

📅 April 12, 2026 📰 Journal of Indian Mathematical Heritage
Computational Study of 11th-Century 'Ganita-Yukti-Bhasha' Manuscripts Reveals Early Sanskrit Algorithms for Modeling Non-Linear Fluid Oscillations

A groundbreaking study published in the Journal of Indian Mathematical Heritage has identified previously unknown computational algorithms within 11th-century Sanskrit manuscripts. Researchers from the Indian Institute of Science used advanced modeling to demonstrate that these texts, part of the Kerala School of Astronomy and Mathematics, contain the mathematical foundations for describing non-linear fluid oscillations. The findings suggest that ancient Indian scholars had developed sophisticated recursive series that predate European fluid dynamics models by several centuries.

The research focused on the Ganita-Yukti-Bhasha, an influential treatise on mathematics and astronomy. By applying digital paleography and computational linguistics, the team was able to translate complex notations into modern differential equations. This study provides concrete evidence of an advanced Vedic mathematical framework capable of modeling complex physical phenomena in hydroelectric and irrigation systems, showcasing a level of theoretical physics previously uncredited to the medieval period.

Original source: Journal of Indian Mathematical Heritage