Euler method without for

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

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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 KiB) downloaded 37 time(s).

#2 Posted: 12/24/2023 7:07:27 PM

StvMath

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Like this:

Rocket-s-Euler-vectors_b.sm (31 KiB) downloaded 31 time(s).

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

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Valery Ochkov 12/24/2023 7:25:00 PM

#3 Posted: 12/24/2023 7:26:31 PM

Valery Ochkov

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Thanks.
But I need without the line operator!

#4 Posted: 12/24/2023 8:22:39 PM

StvMath

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Even simpler!

Rocket-s-Euler-vectors_c.sm (30 KiB) downloaded 33 time(s).

Correction: The term vb*i should just be vb

#5 Posted: 12/24/2023 11:26:20 PM

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 12/25/2023 4:24:00 PM

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

Valery Ochkov

55 likes in 633 posts.

Group: User

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