Hi Mr Preben Alsholm .
i before asked you about a problem.now i have another question...
for determine unknown parameter oemega(or eigenvalue) according to line ''newsys2 := subs(omega^2 = omega2*10^5,newsys)'' and also line ''approxsoln = [omega2 = 1, f(x) = x^2*(1-x)^2]''
power (5) in term'' 10^5'' in (omega2*10^5,newsys) and initial guess (1) (omega2 = 1) are very effective on final result eigenvalues .sometimes gain different eigenvalues ,which it is not impossible recognize that
which one is correct and convege.however i need Positive
eigenvalue that is minimum between them,If and only if , it converge after
some iteration in two section of maple file which is attached as
According to my code converge occuerd until eigenvalue gained in first section (before line `11` := ((1+6*alpha2)*(1/12))*(int(fy11^2, x = 0 .. 1))...........) are equal with those obtain in second section .(please see below file for example for_example.mw)
it is necessary mention that between section 1 and 2 is relations.for example amont of first obtained eigenvalue which obtain from first section must be repleaced in line ''approxsoln = [omega2 = 0.661514014001420, h(theta) = theta^2*(1-theta)^2]...........''in second section,
and this procedure should be continued between section 1 and 2 until convergence with desired accuracy occurred.Another relate is that,the first ODE system can be solved using the first set of boundary data to obtain first estimate for second section (fy11). At the next step by repeating in the same manner,
this time by obtained function (g) at the end of maple code (Solution of the second ODE system with second set of boundary conditions leads to the first estimate of function g),that at this stage, the first iteration is completed.
Now by replacing omega2 which is determined in this section in to the first section ,fy11 is updated and gained Further.
Next, the updated function , by continuing the iterative procedure.
in matlab bvp4c rule is used for this purpose.is this impossible in maple software ?if not please help me for solve and gain correct omega..