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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These are spatiotemporal fields, seven coupled partial differential equations, all in space and time. Quanta Magazine, 10 July 2025 And in many cases, the same set of partial differential equations. Yujie Huang, Forbes.com, 2 June 2025 When solving partial differential equations, a KAN was 100 times as accurate as an MLP that had 100 times as many parameters. IEEE Spectrum, 5 Aug. 2024

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 7 Sep. 2025.

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