rapsod Posted August 16, 2005 Share Posted August 16, 2005 Can somebody tell me what type is this differential equation: y''-f(x)y'-sin(y + h(x))=0 I am interested more at numerical solution. Link to comment Share on other sites More sharing options...
CPL.Luke Posted August 17, 2005 Share Posted August 17, 2005 differential equations never have numerical values, at least as far as I know other than that its a pde as far as I can tell Link to comment Share on other sites More sharing options...
Klaynos Posted August 17, 2005 Share Posted August 17, 2005 it wont have a numerical solution with 2 general functions of x in it as far as I can see... as for working it out, it's late and I'm tired and havn't done any seriouse maths for a couple months Link to comment Share on other sites More sharing options...
rapsod Posted August 17, 2005 Author Share Posted August 17, 2005 I need only algoritam how too break this equation so I can solve it with runge-kutte metod. I forget to say that y=y(x). The sin(y + h(x)) is problem. It is not a polinom but... maybe I can transform it in sum so sin become a polinome. PLEASE HELP!!! MY BRAIN HURTS ME!!! Link to comment Share on other sites More sharing options...
JS Posted August 20, 2005 Share Posted August 20, 2005 A possible solution maybe do y1(x)=y(x) , y2(x)=y'(x) and the problem is now Y'=T(Y), T: R^2-> R^2 (obviously nonlinear) then use the euler method Yn+1=Yn+T(Yn)·DX Other way... but I don't believe that it work in thisproblem is use Raleigh-Ritz but I have use that method in problems y''+f(x)y'+g(x)=0 that isn't the case... Other way is read about Galerkin method but that is more related to PDE. Link to comment Share on other sites More sharing options...
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