NDSolve with NIntegrate for a PDE where the unknown function is integrated wrt its variables
- To: mathgroup at smc.vnet.net
- Subject: [mg119013] NDSolve with NIntegrate for a PDE where the unknown function is integrated wrt its variables
- From: ValeX <rjovale at gmail.com>
- Date: Fri, 20 May 2011 06:33:46 -0400 (EDT)
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!