Euler method without for

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

67 apprezzamenti in 713 post.

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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) scaricato 1537 volta(e).

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

StvMath

44 apprezzamenti e 1 disapprezzamenti in 76 post.

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Like this:

Rocket-s-Euler-vectors_b.sm (31,29 KiB) scaricato 1497 volta(e).

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

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

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

Valery Ochkov

67 apprezzamenti in 713 post.

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Thanks.
But I need without the line operator!

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

StvMath

44 apprezzamenti e 1 disapprezzamenti in 76 post.

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Even simpler!

Rocket-s-Euler-vectors_c.sm (30,2 KiB) scaricato 1445 volta(e).

Correction: The term vb*i should just be vb

#5 Pubblicato: 24/12/2023 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 25/12/2023 16:24:00

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

Valery Ochkov

67 apprezzamenti in 713 post.

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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 Pubblicato: 25/12/2023 15:48:22

Valery Ochkov

67 apprezzamenti in 713 post.

Gruppo: User

Merry Christmas to everyone!

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

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Euler method without for

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Euler method without for - With vectors - Messaggi