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MathGroup Archive 2009

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solving nonlinear integral equations numerically with mathematica?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg95249] solving nonlinear integral equations numerically with mathematica?
  • From: Mitch Murphy <mitch at lemma.ca>
  • Date: Mon, 12 Jan 2009 06:25:25 -0500 (EST)

is it possible to solve nonlinear integral equations numerically with  
mathematica?

i'm trying to solve the following integral equation for the function  
p[x]:

	(1 + x^2/5)^(-5) Exp[ArcTan[x]] ==
  		p[x] Integrate[p[s] Exp[.5 x s], {s, -Infinity, Infinity}]

note this integral equation is nonlinear, ie. not of fredholm or  
volterra type, due to multiplicative p[x] in front of the integral.

i've looked around the documentation for dsolve, ndsolve, ..., but i  
couln't find any mention of integral equations in the mathematica  
documentation. searching this list didn't yield much either.

any ideas/suggestions?

thanks,
Mitch


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