MAPLE report for differential equation. I\'m not sure which 3 DE\'s I\'m suppose
ID: 236123 • Letter: M
Question
MAPLE report for differential equation. I'm not sure which 3 DE's I'm supposed to be deriving, or how to derive them.. Any help is appreciated. 6 90 DEPARTMENT OF MATHEMATICS UAB DIFFERENTIAL. EQUATIONs MA252 SUMMER 2016 ASSIGNMENT 6 DUE DATE: MONDAY 07/25/16 El Niño An El Niio is a regularly (but, as yet, not predictably) occurring climatie event associ- ated with unusually warm ocean temperatures in the equatorial band of the Pacific Occan stretching from northern Australia to the coast of Peru in South America. Such oscillations El Nino-D er 1997 in the tropical Pacific ocean-atmosphere system have important and direct weather conse- quences all over the planet, including increased rainfall across the southern US sometimes associated with destructive flooding, the appearance of drought conditions and devastating bush fires in Australia, increased likelihood of hurricane and tornado events, and disruption of fisheries and other marine ecosystems. One ODE model of this phenomenon was proposed in 1986 by Geoffrey Vallis (Scripps Institute of Oceanography, UCSD), and we follow his approach here. Consider the equatorial Pacific ocean between Australia and the Peruvian coast to be a (very large) box of fuid characterized at any time t by the temperatures T in the east and T, in the west and an ocean current which El Niño Conditions Normal Conditions 120-2
Explanation / Answer
The three DE's are-
1-du I.e. tradewind velocity
2- d Tw Temperature in west
3- d Te Temperature in East
Derivation Approach:
Equation 1-
du/dt= B ((Te-Tw)/x)+ C(u^2-u)
Using equation 2 and 3 we can simplify this equation by putting the value of Tw and Te
Continue the simplification and will get the value of du.
P.S. similar steps to be followed for the value of Tw and Te
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