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21-Topaz II
April 9, 2016
Solved

initial value problem-difference method

  • April 9, 2016
  • 3 replies
  • 2614 views

Hello everyone. I have a problem with a difference method, shown here below. (The results are different from those of the text). Some of you could kindly say me  if I'm wrong or the text is wrong? thanks a lot.

Yours sincerely F. M.

initial value problem.jpg

Best answer by -MFra-

initial value problem.jpg

3 replies

24-Ruby IV
April 9, 2016

May be my example 18.10-18-12 here Study 18. Differential Equations in Thermal Engineering help you!

-MFra-21-Topaz IIAuthor
21-Topaz II
April 11, 2016

Thanks Valery,

the answer is very interesting and very instructive for the use of pdesolve. Thanks again.

However, it does not answer my question, namely: whether  the difference method and the  amplification matrix are correct.

With best regards.

F. M.

-MFra-21-Topaz IIAuthor
21-Topaz II
April 11, 2016

I apologize, the differential equation considered, it is with constant coefficients.

initial value problem.jpg

-MFra-21-Topaz IIAuthorAnswer
21-Topaz II
April 19, 2016

initial value problem.jpg