Euler method without for

#1 Posted: 2023/12/24 13:26:58

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I can’t figure out how to implement Euler method for solving ODEs without a for cycle - only with vectors.
Help please.
Rocket-s-Euler-vectors.sm (28.07 KiB) downloaded 851 time(s).

#2 Posted: 2023/12/24 19:07:27

StvMath

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Like this:

Rocket-s-Euler-vectors_b.sm (31.29 KiB) downloaded 852 time(s).

Correction: The term yb*i should just be yb.

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Valery Ochkov 2023/12/24 19:25:00

#3 Posted: 2023/12/24 19:26:31

Valery Ochkov

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Thanks.
But I need without the line operator!

#4 Posted: 2023/12/24 20:22:39

StvMath

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Even simpler!

Rocket-s-Euler-vectors_c.sm (30.2 KiB) downloaded 800 time(s).

Correction: The term vb*i should just be vb

#5 Posted: 2023/12/24 23:26:20

Jean Giraud

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Wrote
I canât figure out how to implement Euler method for solving ODEs without a for cycle - only with vectors.
Help please.

Further, you would have to collect pairwise.
Euler is a poor integrator vs the yardstick rkf4 [Fehlberg].
On my test function Euler deviates up to 0.07 ... damned inaccurate !
Jean

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Valery Ochkov 2023/12/25 16:24:00

#6 Posted: 2023/12/25 00:17:24

Valery Ochkov

64 likes in 670 posts.

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Wrote

Wrote
I canât figure out how to implement Euler method for solving ODEs without a for cycle - only with vectors.
Help please.

Further, you would have to collect pairwise.
Euler is a poor integrator vs the yardstick rkf4 [Fehlberg].
On my test function Euler deviates up to 0.07 ... damned inaccurate !
Jean

#7 Posted: 2023/12/25 15:48:22

Valery Ochkov

64 likes in 670 posts.

Group: User

Merry Christmas to everyone!

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Davide Carpi 2023/12/27 19:53:00

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Euler method without for

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