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These are replies submitted by torabi

@Preben Alsholm

thanks a lot.i believe  that  for extera boundary condition 

{g(1), s(1), (D(g))(0), (D(g))(1), (D(s))(1), ((D@@2)(s))(0), ((D@@3)(s))(0)}

when we use for example g(1)=b, amount b is very effective on result.. 

result for first omega is correct but for second omega is some away from correct result.i examin this and found that amount b is very effective on result.

due to comment  ''''try using an approximate solution with more wiggles.
approxsoln=[s(x)= something, g(x) = something]'''  

i attach two file that are fist and second result for omega ,which second result for omega has some different with correct result

please see attached file below..

@Preben Alsholm 

hi.thanks for your attention.please see attached file that different method such as shooting and perturbation method was used for solving same possible sove equation with shooting method?



@Preben Alsholm 

thanks a lot

first result for omega is correct but another result are same

[0.77274e-1, 0.77468e-1, 0.78051e-1, 0.78216e-1, 0.78701e-1, 0.78835e-1, 0.79218e-1, 0.79320e-1, 0.79596e-1, 0.79665e-1, 0.79832e-1, 0.79866e-1, 0.79922e-1]??


@Preben Alsholm 

thanks alot, but these values of omega really dos not different....

@Preben Alsholm thanks alot...

because this problem have many answer for omega2 ,due to eginvalue problem

how i can gain another result for omega2? (or next results for omega2)?

2)how i can apply another bcs such as {{ s(1), (D(g))(0), (D(g))(1), (D(s))(1), ((D@@2)(s))(0), ((D@@3)(s))(0)}} more evere g(1)? are results same for another boundary conditions?

3)what is the reason for using  odetest({s(x) = 0}, sys)  and equal s(x) to zero?

4)how generate this code for another input data for example   the term '''(0.326905829596411e-2)'''   in this line 

0.326905829596411e-2+(4/3)*omega2 = ((1/2)*Pi+n*Pi)^2??


@Carl Love 

Hi.i need to non trial solution for this equations....

@Markiyan Hirnyk 


but i need explicit formulas....

@Markiyan Hirnyk

why? i don't understand jokes!!!!

this result need to a long time.

is there another way to ger result faster?


@Markiyan Hirnyk 

hi.for gain faster result i  assume that n := 7  and obtain result for two case.

please see two case witch attached as file belowanother_result_(1).mw


@Markiyan Hirnyk

thanks. i tried with 15 digits and will say  you the result ...

@Markiyan Hirnyk 

is another way for gain result faster? may we use another method  such as Runge-Kutta thanks?

this method need to a long time for driving result


is possible any one help to me?

@Markiyan Hirnyk 

The equations and variables are presented as Maple  input in attached file below

@Markiyan Hirnyk 

maple code was reformed...thanks

@Preben Alsholm 


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