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"closed form solution" is a correct and usable phrase in written English.
This phrase is usually used to describe a mathematical equation that can be expressed in a concise, single expression rather than being solved through an iterative process. For example, "The equation was solved using a closed form solution of x + y = 7."
Exact(23)
A Navier-type, closed form solution is adopted.
A Navier-type, closed form solution is used.
A Rayleigh-Ritz approximation is used to obtain a closed form solution.
In special cases a closed, or almost a closed form solution is obtained.
The model has no closed form solution.
A closed form solution for simply-supported plates is presented.
Similar(37)
For vertical wellbore a closed-form solution is achieved.
An approximate closed-form solution is also presented.
However, a closed-form solution does not seem trivial.
Generally, this likelihood equation has no closed-form solution.
It reduces the problem to a closed-form solution.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com