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February 16th, 2010, 07:11 AM   #1
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Simpsons rule,Trapezoidal rule,check please

Hi,

I have used...

simpsons rule and got = 14397.5m2

Trapezoidal rule and got = 14556.25m2

from the attachment,can someone check my answers please.



Thanks...[attachment=0:eehytgwu]01-02-2010 12-47-24_0064.jpg[/attachment:eehytgwu]
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File Type: jpg 01-02-2010 12-47-24_0064.jpg (271.7 KB, 94 views)
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February 16th, 2010, 07:22 AM   #2
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Math Focus: primes of course
Re: Simpsons rule,Trapezoidal rule,check please

your Simpson's checks, so it looks good
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February 16th, 2010, 07:49 AM   #3
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Re: Simpsons rule,Trapezoidal rule,check please

Thanks,

is there usually this much of a discrepancy between simpsons and trapezoidal?

Mark
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February 17th, 2010, 10:23 AM   #4
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Re: Simpsons rule,Trapezoidal rule,check please

yeah, depending on the interval size, can see error as merely using a straight line for a curve. See this link for discussion of the "corrected" T.R., which really helps at least in the example (see Chap 5, sect 5.2 examples) [url]http://www.cs.uiowa.edu/~atkinson/ena_master.html/url].
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