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5.3 oalel 2: Non-Ilne.l! reaervolt<br />
aetetsL d.ectiqtion<br />
the non-llnear rarslnoir loodal ia givan a! follort!<br />
s - kQn<br />
€'r<br />
dt<br />
-e<br />
Error surfacefor<br />
nonl inear<br />
reservol r on catchment 311<br />
dlynabLc eqqatlon<br />
contlnulty equatlon<br />
(s.6)<br />
( 5,7)<br />
fh€ prevlous caac of tJre llnear teAelvoir ia a ep€clal v€rston of tlrls<br />
noilel ehore para&etir n - 1. Unllke the linea! malel, howev€r, the<br />
above systeD haa no analytlcal aolutLon for genenl valu€s of !I atld<br />
requllea a nutlerical tcheme. Exabplea of the use of thls Dodel have<br />
been glven by KIdd (19?6, 1978) rnd van at€n 8619 (19?g). Ih6 nodel 1s<br />
progla@od by p€rforDl,ng r Nertolr-Raphron lt€latl-on on a flnlte-a[!f,elence<br />
foraulatlon of equatlon 5.6 and 5.? ooabltt€d.<br />
Senoitivitu of npdel patvneteta<br />
grror srtface [appl,og shdred th€ Darked inler-colrelat1on tetween tr anal<br />
k whlch has b€en prevlously obselved (Klddr l9?8). Flgure ll is an<br />
exlbpJ,e of JuEt such !.ri e!to! sutfdce. A9 ln the case of t]!e<br />
l{on-line.r Reservolr *ith Ttne Lag (!ot!el 3, next 6ection), the tso<br />
parasetets were found to be appj.oxlnately equally Eensi,tlve to<br />
peltulbatlons arouhd tie optibub. Also baEed on the sale th€oletlcal<br />
consial,er.tions (see s€ct1on 5.4), it waB alectded to ailopt a tixeat<br />
valu€ of n of .6?,