ODE - Boundary Value Problem

#1 Posted: 6/4/2020 5:22:40 AM

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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 361 time(s).
bound_ode.pdf (100.39 KiB) downloaded 357 time(s).

Best regards.
Alvaro.

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Вячеслав Мезенцев 6/4/2020 6:46:00 AM, sergio 6/4/2020 7:50:00 AM

#2 Posted: 6/4/2020 10:32:26 PM

Jean Giraud

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This example in independent of other solvers, very fast.

ODE 00000 Shooting.sm (123.79 KiB) downloaded 349 time(s).

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frapuano 6/5/2020 5:19:00 AM

#3 Posted: 9/4/2020 6:31:51 AM

Alvaro Diaz Falconi

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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 338 time(s).
bvp2_with_examples.pdf (650.33 KiB) downloaded 343 time(s).

Best regards.
Alvaro.

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sergio 9/4/2020 6:36:00 AM, Вячеслав Мезенцев 9/4/2020 9:48:00 AM

#4 Posted: 12/8/2021 7:36:17 PM

Alvaro Diaz Falconi

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Updated for use within Mathcad Solve Block.

bvp2_SolveBlock.sm (223.08 KiB) downloaded 327 time(s).

bvp2_SolveBlock.pdf (535.87 KiB) downloaded 313 time(s).

Best regards.
Alvaro.

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Вячеслав Мезенцев 12/9/2021 4:02:00 AM, sergio 12/9/2021 5:56:00 AM

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