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09-30-2018
03:09 PM

09-30-2018
03:09 PM

Wolf and hare - one old problem with simple Mathcad solution

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27 REPLIES 27

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10-01-2018
04:08 AM

10-01-2018
04:08 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

Hi

Very beautiful. I also have the analytical solution.

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10-01-2018
02:10 PM

10-01-2018
02:10 PM

Re: Wolf and hare - one old problem with simple Mathcad solution

Show please!

But the solution without animation is not solution!

But the solution without animation is not solution!

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10-02-2018
08:49 AM

10-02-2018
08:49 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

Hi

I only provide you with the most important part I have developed. Let me know if you find something wrong. (After the formula (11) there is still some simple calculation to do)

Greetings FM.

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10-02-2018
09:59 AM

10-02-2018
09:59 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

Thanks!

But show please the analytical view of the wolf (or борзая) tracing curve!

One Russian article with the formula is here

PS Greyhound (русская псовая борзая) is the only breed of dogs that is bred in Russia:

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10-02-2018
10:21 AM

10-02-2018
10:21 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

Hi ValeryOchkov,

thank you very much for the article on the topic under consideration.

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10-03-2018
07:23 AM

10-03-2018
07:23 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

… but this problem has no analytical solution

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10-03-2018
07:26 AM

10-03-2018
07:26 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

and one more

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10-03-2018
07:27 AM

10-03-2018
07:27 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

… one more

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10-03-2018
07:29 AM

10-03-2018
07:29 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

… and one more

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10-03-2018
07:33 AM

10-03-2018
07:33 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

The wolf must stay and wait for the hare...

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10-03-2018
12:57 PM

10-03-2018
12:57 PM

Re: Wolf and hare - one old problem with simple Mathcad solution

… and one more

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10-03-2018
01:12 PM

10-03-2018
01:12 PM

Re: Wolf and hare - one old problem with simple Mathcad solution

…

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10-03-2018
01:25 PM

10-03-2018
01:25 PM

Re: Wolf and hare - one old problem with simple Mathcad solution

Very simple solution

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10-04-2018
07:10 AM

10-04-2018
07:10 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

One interesting problem for an analytical solution - what is the formula of this closed curve?

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10-10-2018
12:27 PM

10-10-2018
12:27 PM

Re: Wolf and hare - one old problem with simple Mathcad solution

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10-06-2018
11:53 PM

10-06-2018
11:53 PM

Re: Wolf and hare - one old problem with simple Mathcad solution

here@-MFra- wrote:

Hi ValeryOchkov,

thank you very much for the article on the topic under consideration.

You welcome!

See please one English article here

And my article in attach (Russian)

And of course Pursuit curve

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10-01-2018
02:34 PM

10-01-2018
02:34 PM

Re: Wolf and hare - one old problem with simple Mathcad solution

I look and look at this animation and I expect that the hare will still run away from the wolf into the forest...

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10-01-2018
04:40 PM

10-01-2018
04:40 PM

Re: Wolf and hare - one old problem with simple Mathcad solution

@ValeryOchkov wrote:

I look and look at this animation and I expect that the hare will still run away from the wolf into the forest...

The hare has an afterburner. The hare turns it on when the distance to the wolf becomes less than 300 m. Therefore, the hare can be saved in the forest from the wolf!

Can you solve this problem analytical?

And the second (new, fresh) problem! The hare does not run in a straight line, but along a circular arc!

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10-08-2018
03:05 PM

10-08-2018
03:05 PM

Re: Wolf and hare - one old problem with simple Mathcad solution

One symbolic solution one partial case of the problem

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10-09-2018
01:29 AM

10-09-2018
01:29 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

The DE of the problem. See Pursuit curve

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10-09-2018
12:14 PM

10-09-2018
12:14 PM

Re: Wolf and hare - one old problem with simple Mathcad solution

Dog -> Wolf -> Hare (see alse Mice problem)

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10-17-2018
03:19 AM

10-17-2018
03:19 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

@ValeryOchkov wrote:

The DE of the problem. See Pursuit curve

There is an error on Wikipedia - not (a-x^2) but (a-x)^2

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10-11-2018
02:04 PM

10-11-2018
02:04 PM

Re: Wolf and hare - one old problem with simple Mathcad solution

3D

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10-12-2018
12:26 AM

10-12-2018
12:26 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

The hawk chased the hare, landed, and ... drove out of the runway. Fog!

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10-17-2018
02:28 AM

10-17-2018
02:28 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

Classic book - Differential Games by Rufus Isaacs

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10-29-2018
03:05 AM

10-29-2018
03:05 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

Correct variant in attach!

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12-09-2019
11:09 AM

12-09-2019
11:09 AM

Re: Wolf and hare - one old problem with simple Mathcad solution

**Thanks to all for this article**

APPLICATION OF DIFFERENCE SCHEMES TO DECISION THE PURSUIT PROBLEM