Can't reproduce a solution found in a paper using Mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg102845] Can't reproduce a solution found in a paper using Mathematica
- From: Neelsonn <neelsonn at gmail.com>
- Date: Sun, 30 Aug 2009 06:06:17 -0400 (EDT)
Guys,
This is what I want to solve:
J \!\(
\*SubsuperscriptBox[\(\[Integral]\), \(0\), \(b\)]\(
\*SubsuperscriptBox[\(\[Integral]\), \(0\), \(a\)]
\(\*FractionBox[\(\[Rho]\ J\), \(2\ t\)]\)[x \((a - x)\) -
FractionBox[\(8
\*SuperscriptBox[\(a\), \(2\)]\),
SuperscriptBox[\(\[Pi]\), \(3\)]] \(
\*UnderoverscriptBox[\(\[Sum]\), \(m = 0\), \(\[Infinity]\)]
\*SuperscriptBox[\((2 m + 1)\), \(-3\)]\ *\
\*FractionBox[\(Cosh[
\*FractionBox[\(\((2 m + 1)\) \[Pi]\ y\), \(a\)]]\), \(Cosh[
\*FractionBox[\(\((2 m + 1)\) \[Pi]\ b\), \(a\)]]\)]\ *\ Sin[
\*FractionBox[\(\((2 m +
1)\) \[Pi]\ x\), \(a\)]]\)] \[DifferentialD]x \
\[DifferentialD]y\)\)
...and this is the solution that I found in a publication:
(\[Rho] J^2)/(2 t)*[(a^3 b)/6 - (16 a^4)/\[Pi]^5 \!\(
\*UnderoverscriptBox[\(\[Sum]\), \(m = 0\), \(\[Infinity]\)]\(
SuperscriptBox[\((2 m + 1)\), \(-5\)] Tanh[
\*FractionBox[\(\((2 m + 1)\) \[Pi]\ b\), \(a\)]]\)\)]
I am simply not able to reproduce that with Mathematica. The obvious
questions is: why? If someone would be willing to have a look at the
the paper I could sent it over. I may say that the paper dated back
from the 70's and at that time Mathematica wasn't available (people
were smart at that time!!!! lol)
Thanks again,
N