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 Author Comment/Response 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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