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convert the equation y'''(x)-3y'(x)-xy=0 with initial conditions y(0)=0.8064, y'(0)=1.03598, y''(0)=-0.09998 into 3 first order equations using
1)euler forward difference method
2)second order runga kutta method
k1=hf(x,y)
k2=hf(xn+h/2,yn+k1/2)
yn+1=yn+k2
find numerical solution y at x=0.1, 0.2, 0.3 step length h=0.1
5 decimal points. PLEASE HELP!!!!
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TeeEm
19
Original post by studentdadada
convert the equation y'''(x)-3y'(x)-xy=0 with initial conditions y(0)=0.8064, y'(0)=1.03598, y''(0)=-0.09998 into 3 first order equations using
1)euler forward difference method
2)second order runga kutta method
k1=hf(x,y)
k2=hf(xn+h/2,yn+k1/2)
yn+1=yn+k2
find numerical solution y at x=0.1, 0.2, 0.3 step length h=0.1
5 decimal points. PLEASE HELP!!!!


very difficult to get help on line with this horrible numerical ODE staff

my suggestion

visit

http://www.waterstonesmarketplace.com/Further-Engineering-Mathematics-Programmes-and-Problems-K-A-Stroud/book/2502896?qsort=p&matches=56

this is a self teach book which definitely covers your question together with other topics which you might come across.
(edited 9 years ago)
Reduce the equation first watch this you tube video I guess it might help

then to use Euler method is simple I guess after that

https://m.youtube.com/watch?v=cq3bPBePE8E

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