Tagged Questions
2
votes
0answers
83 views
Solving homogeneous Fredholm Equation of the second kind
I am trying to solve a homogeneous Fredholm integral equation of the second kind, i.e.
$\lambda y(x) = \int\limits_a^b e^{i[\phi(t)+k(t-x/M)^2]} y(t)\,dt$
where $\lambda$ is the eigenvalue (to be ...
0
votes
0answers
109 views
dealing with discontinuity at integration
My problem is about the solution of $2$ non-linear equations which have a single parameter. To be more precise, For given two densities; for example:
...
5
votes
1answer
309 views
How to solve a non-linear integral equation?
I have a non-linear integral equation that I'd like to solve with Mathematica:
Solve[Integrate[B[x] v / (B[x] + B[v])^2, {x, 0, 1}] == 1, B[v], {v}]
This ...
0
votes
1answer
90 views
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 ...
