TABLE 2. 



pKOCESs OF Solution by Successive Approximation. 



Substitute 



in equations 



and obtain 



Line 



Second approximation determined directly 



Third approximation determined directly and checked by first differences A' 



Fourth approximation determined by first differences and checked by second differences A- 



Supplementary explanations 



A" =A'-1-AA'' Bo"' = B''-A"=B'-A'+AB"'- 

 A'"=A'+AA'" =a'+AB"-AA" 



A'" =A'+AA'" a'"-=a'+AB"'-AA"' 

 etc. a'" =o'+AB'"'-AA"- 



etc. 

 Ai(i"'-A'fZ'' = A=(/'"= A2E'"-A2D'" 

 A^"— A'd"'=A=f/" = A=E"'-A2D" 

 etc. 



■AA'' (/" -rf' = A'rf" =A'E"-AiD' 

 d"'-d" =Ay'" = AiE"'-A'D" 

 rf'"-rf""'= Airf" = AiE"-- A'D"-' 

 etc. 



A:A" = A1A"-A'A'" 

 A=A' = A'A'-A'A"- 

 etc. 



A'A"'=AA'"-AA' 



A'A" = AA"-AA'"' 



etc. 



