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Topic: fyi, update to Kamke differential equations tests, Maple 2017.3 vs.
Mathematica 11.2

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Nasser Abbasi

Posts: 6,665
Registered: 2/7/05
fyi, update to Kamke differential equations tests, Maple 2017.3 vs.
Mathematica 11.2

Posted: Oct 29, 2017 5:16 AM
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fyi;

https://www.12000.org/my_notes/kamek/kamke_differential_equations.htm

Made new build for Kamke differential equations tests (1940 ODE's).
Last report was for Maple 2016.1 vs Mathematica 11. Current one
for Maple 2017.3 vs. Mathematica 11.2. All on windows 7.

Here is the result:

=======================================================
system Maple 2017.3 Mathematica 11.2
%solved 91.96 75.77
mean CPU time (sec) 0.69 30.16
mean leaf size of result 190.72 130.76
total CPU (minutes) 22.17 975.18
total leaf size 369988 253672


=======================================================
system Maple 2016.1 Mathematica 11
%solved 92.01 74.48
mean CPU time (sec) 1.12 32.6
mean leaf size of result 190.73 128.96
total CPU (minutes) 36.3 1054.15
total leaf size 370025 250177

Overall, performance has not changed much. Maple remains much
faster than Mathematica in this test, meanwhile Maple leaf
size of the solution is larger than Mathematica's (about 30%
larger on average)

Listing of the ODE's in Maple and Mathematica syntax are the main page above

--Nasser



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