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Shahriar
01/10/09 4:44pm

Hi

Id like to solve the following two equations for vz[x] and omega[x] with NDSolve but Mathematica keeps giving me all sort of different errors.

-0.00001 +
\!\(\*SuperscriptBox["\[Omega]", "\[Prime]",
MultilineFunction->None]\)[x] +
\!\(\*SuperscriptBox["vz", "\[Prime]\[Prime]",
MultilineFunction->None]\)[x] == 0

-2 \[Omega][x] - \[Omega][x]^3/(
2 (10 + 2 \[Omega][x]^2 + \[Omega][x]^4)) -
\!\(\*SuperscriptBox["vz", "\[Prime]",
MultilineFunction->None]\)[x] == 0

with known boundary conditions of vz[0]==0 and vz[1]==0
Mathematica tells me the number of initial conditions are less than the order of the equation

When I use the shooting method and set another initial condition like vz'[0]==A where A is a swept variable, it doesnt like it. Ive even tried using omega[0]==A for the shooting method but it doesnt like it.

I can implement a system of nonlinear coupled equations with four boundary conditions (see first half of file submissionBCs.nb using the shooting method and it works very well) But when I want to do the system with two boundary conditions it doesnt work in second half of submissionBCs.nb.
Any help on this matter will greatly be appreciated
Thanks

Attachment: submissionBCs.nb, URL: ,

Subject (listing for 'System of coupled nonlinear differential equati...')
Author Date Posted
System of coupled nonlinear differential equati... Shahriar 01/10/09 4:44pm
Re: Examples for System of coupled nonlinear di... Shahriar 01/10/09 6:33pm
Re: Re: Examples for System of coupled nonlinea... yehuda ben-s... 01/12/09 01:01am
Re: System of coupled nonlinear differential eq... yehuda ben-s... 01/11/09 07:42am
Re: Re: System of coupled nonlinear differentia... Shahriar 01/11/09 11:55am
Re: Re: Re: System of coupled nonlinear differe... Horatio 02/22/09 9:54pm
Re: Re: Re: Re: System of coupled nonlinear dif... Shahriar 02/24/09 09:42am
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