30 



As a check on the accuracy of the integration, if, (0) was also eval- 

 uated by two other means, with the following results: 



Prom Gauss 7-ordinate formula \f> (0) = 0.001 258 



From Gauss 11- ordinate formula ^(0) = 0.001243 



Prom exact integration ip (0) = 0.001243 



It is seen that the 7-ordinate formula introduces an error in the fifth deci- 

 mal place. 



The first step in the determination of if U) is to read the values 

 of ^(t) from the graph, Figure 3- ^R sin and U sin0d flare then ob- 

 tained. # 2 (x) is then given by [58] and graphed in Figure 3. Repeated 



-1O.0014 



0.0012 



0.0006 



V(x) 



-1.0 -0.9 -0^ ^0?r 106 l05 ^OA ^03 ^02 ^OJ 



Figure 3 - Comparison of Error Functions ^(x) from 

 Iteration Formula and von Karman Method 



