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Question: nonlinear fourth-order differential equations

Question:nonlinear fourth-order differential equations

hinuca 5 Maple 8
February 03 2011
1

Hi,

Currently I have to deal with this nonlinear differential equations. The "Newton iteration is not converging" is the main problem. Could anyone propose some solutions?

Thanks a lot.

-EM*iner*(diff(f(x), `$`(x, 4)))-(3/2)*EM*A*nonln*(diff(f(x), `$`(x, 2)))*(diff(f(x), `$`(x, 1)))^2+u*EM*A*nonln*(9*(diff(f(x), `$`(x, 1)))*(diff(f(x), `$`(x, 2)))*(diff(f(x), `$`(x, 3)))+3*(diff(f(x), `$`(x, 2)))^3+(3/2)*(diff(f(x), `$`(x, 1)))^2*(diff(f(x), `$`(x, 4)))) = -q, f(0) = 0, f(l) = 0, (D(D(f)))(l) = -q*u/(EM*iner), (D(D(f)))(0) = -q*u/(EM*iner)

Where EM,u,A,iner,nonln are all constants.
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