Tagged Questions
1
vote
0answers
29 views
What kind of numerical methods are best applicable to this?
I'm wondering: what would be the best numerical method for solving a nonlinear integral equation of the form
$$f(x) = a(x) + \int_{-A}^{A} K(x, t, f(t)) dt$$
where $f$ is the unknown function, a ...
3
votes
1answer
444 views
How to solve Volterra's integral equation of second kind with numerical solution
The problem occurs to me when I tried to solve
\begin{align}E(x)=1+2(1-x)^2\int_{x}^{1}(1-t)E\left(\frac{x}{t}\right)dt\end{align}
with $E(1)=1$ and $\lim_{x\to 0^+}E(x) \to +\infty$.
I'd like to ...
2
votes
1answer
139 views
Numerical solution of fractional integro-diffrential equ. using collocation method?
problem comes from
"Numerical solution of fractional integro-differential , equations by collocation method , E.A. Rawashdeh, Department of Mathematics, Yarmouk University, Irbid 21110, Jordan"
...
7
votes
2answers
494 views
Numerical solution of an integral equation
I have problems with a solution of an integral equation in MATLAB: all conditions are double-checked, but the answer is incorrect. Let me state the equation:
$$
x(s) = ...
2
votes
1answer
242 views
Integral equation solution (Fredholm, second type)
There is an equation
$$
w(x) = g(x)+\int\limits_0^M w(y)f(x-y)\,dy
$$
where $f\geq 0$, $f\in C^\infty(\mathbb R\setminus\{c\})$ for some point $c$ and $\int\limits_{-\infty}^\infty f(t)\,dt\leq 1$. ...
