The solution of simultaneous ordinary differential equations using a general purpose digital computer

1960 ◽  
Vol 3 (6) ◽  
pp. 355-360 ◽  
Author(s):  
W. H. Anderson
1990 ◽  
Vol 01 (04) ◽  
pp. 285-298
Author(s):  
B. YUDANIN ◽  
M. LAX

A"folding" transformation is used to reduce a two point boundary value problem to one point boundary values (with double the number of functions). A transformation to quasi-Lagrangian coordinates is used to transform discontinuities to rest. After these transformations the general purpose numerical package POST (partial and ordinary differential equations solver in time and one space coordinates) can be successfully applied to a system of hydrodynamical equations, whose solution exhibits jumps and cusp-type discontinuities. Numerical results are presented for the spherically-symmetric shock problem.


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