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MathGroup Archive 2006

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Plot resolution

  • To: mathgroup at smc.vnet.net
  • Subject: [mg65064] Plot resolution
  • From: "Laurentiu Caramete" <laurentiu.caramete at googlemail.com>
  • Date: Sun, 12 Mar 2006 23:59:52 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

I got a problem with a plot of a function. The function 'pressure' should
decrease monotonically with r. The Plot function is giving a non-monotonic
plot at big r, this is a problem with the resolution of the plot or with the
function? How can I check that?

\!\(Clear[r]\[IndentingNewLine]
  \(ro = 10\^3;\)\[IndentingNewLine]
  \(pressure =
      p[r] /. \(DSolve[{D[p[r], r] ==
                1\/\(\(r\^2\) \((1 + r)\)\^3\) -
                  Log[1 + r]\/\(\(r\^3\) \((1 + r)\)\^2\),
              p[ro] == 10\^\(-7\)}, p[r],
            r]\)[\([1]\)];\)\[IndentingNewLine]\[IndentingNewLine]
  Plot[pressure, {r, ro, 10\^4}, PlotRange -> All]\)


Thanks



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