partial differential equation

noun

: a differential equation containing at least one partial derivative

Examples of partial differential equation in a Sentence

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The proof uses an auxiliary partial differential equation to establish Sogge’s local smoothing for waves in every spatial dimension at least two. — Richard Lawler, The Verge, 26 Oct. 2026 An analytical number theorist and an expert in partial differential equations often don’t speak the same language. — Manon Bischoff, Scientific American, 11 Aug. 2026 Deng, 37, a University of Chicago professor who grew up in the tech hub of Shenzhen, won for his progress on partial differential equations. — Simone McCarthy, CNN Money, 24 July 2026 The trajectory of a storm, the evolution of stock prices, the spread of disease — mathematicians can describe any phenomenon that changes in time or space using what are known as partial differential equations. — Quanta Magazine, 6 Feb. 2026 See All Example Sentences for partial differential equation

Word History

First Known Use

1816, in the meaning defined above

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

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Cite this Entry

“Partial differential equation.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/partial%20differential%20equation. Accessed 11 Nov. 2026.

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