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Groups > comp.soft-sys.math.mathematica > #2519

NDSolve with NIntegrate for a PDE where the unknown function is integrated wrt its variables

From ValeX <rjovale@gmail.com>
Newsgroups comp.soft-sys.math.mathematica
Subject NDSolve with NIntegrate for a PDE where the unknown function is integrated wrt its variables
Date 2011-05-20 10:33 +0000
Organization Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID <ir5g27$sro$1@smc.vnet.net> (permalink)

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Hello, i know that this issue has been raised many times, but i cannot
find an answer in the previous posts.

I tried to reformulate my problem in a simple way:

NDSolve[{Derivative[0, 1][Yg][r, t]==NIntegrate[A[r1] Yg[r1, t] , {r1,
1, r}] + B[r]/Yg[r, t], Yg[r, 0] == r}, {Yg}, {r, 1, 10}, {t, 0, 0.3}]

where A and B are some functions, for example:

A[r_] = r^-1; B[r_] = r + 10;

Please help!

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NDSolve with NIntegrate for a PDE where the unknown function is integrated wrt its variables ValeX <rjovale@gmail.com> - 2011-05-20 10:33 +0000

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