## 72 Reputation

16 years, 65 days

## Phase problem...

I need an asymptotic series in general which contains S0, because S0 in my actuall analysis is the postion of a phase change problem. which changes after time to time. Thats why I need a general form. I have numerical results for it, but I am interested in asymptotic.

My main equation which conatin the discuss part (which we now are playing with to get asymptotic series) is

a:=-variphi*sigma+Ste1/S0*sqrt(l^2+sigma)*coth(sqrt(l^2+sigma)*S0)+R1*R4*Ste2/(1-S0)*sqrt(l^2+sigma/R4)*coth(sqrt(l^2+sigma/R4)*(1-S0))-l*R3*(1-R1)*coth(l*S0)-((1-R1)*(variphi*sigma+R3*l*coth(l*S0))*(coth(l*S0)-coth(l))*cosh(l*S0))/(R1*R2*(sinh(l*S0)-cosh(l*S0)*coth(l))-coth(l*S0)*cosh(l*S0)+cosh(l*S0)*coth(l))=0;

For the above equation i need asymptotic series.

Thanks

## Thanks once again If I...

Thanks once again

If I suppose that S0 belong to (0 1) then is it possible that i will get an asmptotic series in terms of S0.

## Thanks for your very very...

Thanks for your very very quick responce. I already tried to convert it first to exp form and then I applied asympt but I face the same problem.

Actually I need it in general form. I dont want to give a specific value of S0.

If you have some other idea please let me know.

Thanks

## Brownian Path...

One thing more can i generate four plots at a time from this code which you send me

## Brownian Path...

One thing more can i generate four plots at a time from this code which you send me

## Brownian Path...

Thankyou so much Bro.

May Almighty give you more happiness.

## Brownian Path...

Thankyou so much Bro.

May Almighty give you more happiness.

Thanks

Thanks

## Brownian Motion...

Hi,

I try to upload but it doesn't work. now I am sending you the procedure which I use.

restart:
> with(plots):
> for j from 1 to 1 do
> grnumber:= x -> stats[random,normald](1):
> T:=1.0:
> n:=1000:
> dt:=T/n:
> t:=array(0..n):
> w:=array(0..n):
> g:=array(0..n):
> wt:=array(1..n+1,1..2):
> w[0]:=0:
> t[0]:=0:
> wt[1,1]:=0:
> wt[1,2]:=0:
> for i from 0 to n-1 do
> t[i]:=i*dt:
> g[i]:=grnumber():
> w[i+1]:=w[i]+g[i]*sqrt(dt):
> wt[i+2,1]:=(i+1)*dt:
> wt[i+2,2]:=w[i+1]:
> end do:
> a[j]:=pointplot(wt,connect=true):
> end do: display(a[1]);

## Brownian Motion...

Hi,

I try to upload but it doesn't work. now I am sending you the procedure which I use.

restart:
> with(plots):
> for j from 1 to 1 do
> grnumber:= x -> stats[random,normald](1):
> T:=1.0:
> n:=1000:
> dt:=T/n:
> t:=array(0..n):
> w:=array(0..n):
> g:=array(0..n):
> wt:=array(1..n+1,1..2):
> w[0]:=0:
> t[0]:=0:
> wt[1,1]:=0:
> wt[1,2]:=0:
> for i from 0 to n-1 do
> t[i]:=i*dt:
> g[i]:=grnumber():
> w[i+1]:=w[i]+g[i]*sqrt(dt):
> wt[i+2,1]:=(i+1)*dt:
> wt[i+2,2]:=w[i+1]:
> end do:
> a[j]:=pointplot(wt,connect=true):
> end do: display(a[1]);

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