separation of variables

From Glossary of Meteorology
The assumption that the solution of a partial differential equation is equal to a product of functions, each being a function of only one of the independent variables.

Each function then satisfies an ordinary differential equation and the original equation is said to be separable. This method has been widely applied in linear boundary value problems admitting permanent waves as solutions.

Retrieved from "https://glossary.ametsoc.org/w/index.php?title=Separation_of_variables&oldid=36011"
Powered by MediaWiki
Powered by WikiTeq
Powered by Semantic MediaWiki
Copyright 2024 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact permissions@ametsoc.org. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.