ODE - Boundary Value Problem

#1 Posted: 2020/6/4 05:22:40

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Hi. This worksheet shows how to use the shooting method for numerically solve a BVP. Notice that Mathcad do this with the sbval function, in a more complete way.

bound_ode.sm (15.96 KiB) downloaded 908 time(s).
bound_ode.pdf (100.39 KiB) downloaded 546 time(s).

Best regards.
Alvaro.

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Вячеслав Мезенцев 2020/6/4 06:46:00, sergio 2020/6/4 07:50:00

#2 Posted: 2020/6/4 22:32:26

Jean Giraud

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This example in independent of other solvers, very fast.

ODE 00000 Shooting.sm (123.79 KiB) downloaded 920 time(s).

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frapuano 2020/6/5 05:19:00

#3 Posted: 2020/9/4 06:31:51

Alvaro

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Hi. This worksheet implements a simple but robust bvp solver for ode's of second degree by central finite differences.

bvp2_with_examples.sm (159.5 KiB) downloaded 931 time(s).
bvp2_with_examples.pdf (650.33 KiB) downloaded 530 time(s).

Best regards.
Alvaro.

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sergio 2020/9/4 06:36:00, Вячеслав Мезенцев 2020/9/4 09:48:00

#4 Posted: 2021/12/8 19:36:17

Alvaro

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Updated for use within Mathcad Solve Block.

bvp2_SolveBlock.sm (223.08 KiB) downloaded 923 time(s).

bvp2_SolveBlock.pdf (535.87 KiB) downloaded 511 time(s).

Best regards.
Alvaro.

2 users liked this post

Вячеслав Мезенцев 2021/12/9 04:02:00, sergio 2021/12/9 05:56:00

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