The integral-equation tag has no wiki summary.
7
votes
0answers
1k views
Integro-differential equation
I have to numerically solve a nonlinear partial integro-differential equation using Mathematica. This is my equation,
$$\frac{\partial y(x,t)}{\partial t}=\int_{-\infty}^\infty K_0(|x-u|) ...
13
votes
3answers
1k views
Solving a Volterra integral equation numerically
I would like to solve for $P(t)$, in Mathematica, a Volterra integral equation of the 2nd kind.
It is:
$$P(t) = R_0(t) + \int_0^t P(t') R_0(t-t')dt'$$
I know the function $R_0$ and would ...
3
votes
2answers
2k views
Integral equation numerical solution with NDSolve
I'm trying to solve something like: f[x] == Integrate[f[x]*g[x]] where g[x] is known and ...
0
votes
1answer
137 views
integration on real domain only!
i am trying to integrate a real valued function. For some reason, Mathematica gives an answer in the complex domain. I'd be grateful for your answers.
Here is the integral:
...
8
votes
1answer
465 views
solve an integral equation numerically
I am trying to find a numerical solution for an equation of the form:
$$
f(t)=\int_{t_{min}}^{t} {\exp[2 (t^\prime - t)] E(t^\prime) f(t^\prime)}
+ \int_{t}^{0}{ \exp(t^\prime - t) E(t^\prime) ...
1
vote
0answers
163 views
Testing the convergence when solving an integral equation
I am trying to find the solution of an integral equation such that a certain convergence criterion is fulfilled.
Now the problem is that the function doesn't look like what I am actually expecting, ...
0
votes
1answer
397 views
how to solve an implicit integral equation? (iterate to a functional fixed point?) [closed]
I reduced a (special case) of my problem to the following code. Even though in this special case all related functions are analytical, DSolve is not the tool for this, though I am indeed looking for a ...
