Hi all

Assume that we have a cost functional, namely J, which we want to be minimized but we have to set of constraint CC1 and CC2.

what should we do it?

The code which I have written is attached(Minimize J under CC1[i]=0 and CC2[i]=0)

 any suggestion or guide is praiseworthy.

Thanks in advance

ExNew.mws

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department

Hi all.

Assume that we have partitioned [0,a], into N equidistant subintervals and in each subinterval we have M sets of poly nomials of the following form:

where T_m(t)=t^m( namely Taylor Series) and t_f is a(final point)
for Example with N=4, M=3 we have:

now we want to approximate a function, asy f(t), in this interval with following form:

Assume that we have

where '"." means common derivetive. How can we do the later integran in right way?

Note that t is unknown

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department

Hi all

Assume that we have following special matrix(Namely ATilde) for arbitrary vectore  z=[a₀,a₁,a₂,a₁^*,a₂^*]:
atild.mws

and we want to use this as a general function for other arbitrary vector. is ther any way?

for example z1=[x,y,t,s,u]?

thanks for any help

best wishes

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department

Hi all,

Hope all to be in good health.

I have written following program to obtain minimum  under som constraints but it doesn't work due to some unknown error.

can any one help me?

Program1.mws

best wishes

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department

Hi all

Assume that we have a function, say f(t) and we want to substitute t in it where t is:

t=[0,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1]

by subs or other better command, how can we do it?

best wishes

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department