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Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.

2 votes
0 answers
99 views

What is the default method used by ParametricNDSolve for a boundary value problem?

What is the default method in ParametricNDSolve for a boundary value problem: parsol = ParametricNDSolveValue[ ... ] How do I find if it uses the shooting method or something else? I tried the fol …
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  • 193
2 votes
0 answers
77 views

Sensitivity analysis of a hybrid system (using WhenEvent) using ParametricNDSolve [closed]

I am trying to do a sensitivity analysis using ParametricNDSolve for a hybrid system. with the following event: event4 = WhenEvent[θ[t] == θstep, {trans[t] -> trans[t] + 2*Sin[-θ[t]], θ'[t] - …
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  • 193
2 votes
1 answer
59 views

Hybrid Systemn Anomalous results while using ParametricNDSolveValue

The hybrid system that I am solving pfun = ParametricNDSolveValue[{y''[t] == -9.8 bounce[t], y[0] == height, y'[0] == 0, bounce[0] == 1, WhenEvent[y[t] == 0, If[Abs[y'[t …
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  • 193
6 votes

Bifurcation package like AUTO?

http://library.wolfram.com/infocenter/Demos/149/ This looks like a solution. Its called dynpac4. An updated version is available at http://www2.me.rochester.edu/~clark/dynpac.html
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  • 193