Environmental Engineering Reference
In-Depth Information
2
erf
erfc
1
0
-1
-4
-2
0
2
4
Fig. 4.1 Error-function (erf) and complementary error-function (erfc)
The 1D-solution for transport given in ( 4.1 ) is valid in the infinite half-space
x
0 for the initial condition
cðx; t ¼
0
Þ¼
0
and the boundary condition:
cðx ¼
0
; tÞ¼c in
cðx ¼1; tÞ¼
0
Sidebar 4.1: Special Functions (1)
In MATLAB
there are various ways to call functions. There are special
functions like the trigonometric functions
®
their inverse functions
their inverse functions with -output
their hyperbolic counterparts
for which there are also inverse functions with arguments in radian or degree.
There are also all secant-functions; for example csc
ðxÞ¼
1
=
sin
ðxÞ :
The logarithm functions are based on different basis (e, 2 or 10):
(continued)
 
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