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03-29-2011
04:19 PM

03-29-2011
04:19 PM

Boundary Value Problems without using sbval

I am trying to fiugre out boundary value problems without using sbval

what i'm trying to find is f'' and other initial condition is f(0)=0 f`(0)=0 f`(inf)=1

here is what i did by using sbval

and i have to use the loop such as while, for, or if

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03-30-2011
09:15 AM

03-30-2011
09:15 AM

Re: Boundary Value Problems without using sbval

How about the attached?

Alan

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03-30-2011
11:25 AM

03-30-2011
11:25 AM

Re: Boundary Value Problems without using sbval - using Shot Correlation Method

A Boundary Problem without using sbval - using Shot Correlation Method:

http://twt.mpei.ac.ru/MCS/Worksheets/Books/Mathcad-14/5_11_Epid_Shot.xmcd

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03-30-2011
11:44 AM

03-30-2011
11:44 AM

Re: Boundary Value Problems without using sbval - using Shot Correlation Method

Valery Ochkov wrote:

A Boundary Problem without using sbval - using Shot Correlation Method:

http://twt.mpei.ac.ru/MCS/Worksheets/Books/Mathcad-14/5_11_Epid_Shot.xmcd

Perhaps you could post the sheet here Valery. When I try your link all I seem to get is an infinite wait!!

Alan

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03-30-2011
01:17 PM

03-30-2011
01:17 PM

Re: Boundary Value Problems without using sbval - using Shot Correlation Method

AlanStevens wrote:

Valery Ochkov wrote:

A Boundary Problem without using sbval - using Shot Correlation Method:

http://twt.mpei.ac.ru/MCS/Worksheets/Books/Mathcad-14/5_11_Epid_Shot.xmcd

Perhaps you could post the sheet here Valery. When I try your link all I seem to get is an infinite wait!!

Alan

All have Mathcad but only me - Mathcad Application/Calculation server

One figure title from my book:

Fig. 5.11. Solving a boundary task by programming tools (pic) (mcd) (mas) (mcs)

Sorry, all variable have russian names in Mathcad-file - mcd

English file in attach!

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03-30-2011
05:29 PM

03-30-2011
05:29 PM

Re: Boundary Value Problems without using sbval - using Shot Correlation Method

Valery Ochkov wrote:

One figure title from my book:

Fig. 5.11. Solving a boundary task by programming tools (pic) (mcd) (mas) (mcs)

Sorry, all variable have russian names in Mathcad-file - mcd

English file in attach!

Very nice approach Valery!

Took me a while to understand the results of the final integration though, because if Ill.begin were truly zero then it seemed to me that your differential equations should keep both healthy and ill populations unchanged. Eventually, I realised you'd fixed the display of Ill.begin to show no decimal places (after all it's difficult to visualise 0.009 people!) and that it was actually non-zero.

It must have been one hell of an epidemic though - it seems to have killed 97% of the population!

Alan

PS I think your final check on the value of Ill.end should use subscript n not n-1.

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03-30-2011
11:04 PM

03-30-2011
11:04 PM

Re: Boundary Value Problems without using sbval - using Shot Correlation Method

Thanks to everyone for replying a lot of help information

From your information i figure out what i have to do

Here is what i got