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#26 2014-05-03 12:05:24

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 15,306
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Re: Modified Euler method

bobbym, Is it not possible for him to reduce this into a first order ODE by integrating both sides


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#27 2014-05-03 14:24:16

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,136

Re: Modified Euler method

Yes, we have done that but there is the little matter of determining the constant of integration.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#28 2014-05-03 15:27:13

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 15,306
Website

Re: Modified Euler method

there is but as far as I know when you are differentiating, you are loosing the information about the constants. Euler's method can give it back?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

Online

#29 2014-05-03 20:03:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,136

Re: Modified Euler method

You can not get Euler's method going without a knowledge of the initial conditions.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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