partial differential equation


: a differential equation containing at least one partial derivative

Examples of partial differential equation in a Sentence

Recent Examples on the Web In modern science and engineering, partial differential equations help model complex physical systems involving multiple rates of change, such as ones changing across both space and time. IEEE Spectrum, 2 Feb. 2024 The researchers found these new models can be up to three times as accurate as other neural networks at tackling partial differential equations. IEEE Spectrum, 2 Feb. 2024 Professor Tao has authored more than 300 research papers on an amazingly wide swath of mathematics including harmonic analysis, partial differential equations, combinatorics, number theory, data science, random matrices and much more. Quanta Magazine, 1 Feb. 2024 The conjecture turns out to have implications not only for geometry, but also for harmonic analysis and the study of partial differential equations. Quanta Magazine, 23 Dec. 2023 And it can be done for any reaction-diffusion system or any partial differential equations. Steven Strogatz, Quanta Magazine, 12 July 2023

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Word History

First Known Use

1816, in the meaning defined above

Time Traveler
The first known use of partial differential equation was in 1816

Dictionary Entries Near partial differential equation

Cite this Entry

“Partial differential equation.” Dictionary, Merriam-Webster, Accessed 1 Mar. 2024.

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