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