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partial differential equation

American  

noun

Mathematics.
  1. a differential equation containing partial derivatives.


Etymology

Origin of partial differential equation

First recorded in 1885–90

Example Sentences

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By incorporating functional analysis and partial differential equation theory from mathematical analysis, this study extends previous investigations on two-dimensional fluid flows to encompass three-dimensional fluid dynamics with axial symmetry conditions.

From Science Daily Sep. 29, 2023

The standard method of solving such a partial differential equation is by separation of variables, where we express the solution as the product of functions containing each variable separately.

From Textbooks Mar. 30, 2016

He devised a way to solve a type of partial differential equation that hitherto had been considered impossible.

From The Guardian May 24, 2015

Prof Hairer's award is specifically for his contribution to a particular type of equation, known as a partial differential equation or PDE.

From BBC Aug. 12, 2014

Examples: d2z = g: ydx + xdy + zdz = 0. dt2 An ordinary differential equation involves only one independent variable, a partial differential equation involves more than one.

From The New Gresham Encyclopedia Volume 4, Part 1: Deposition to Eberswalde by Various

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