Hi All,
Is there any way to solve an integral equation, either analytically or numerically?
Thanks,
Daniel Volinski
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Integral equation solver
Integral equation solver
Hi All,
Is there any way to solve an integral equation,
Thanks,For example, can Sage solve a Volterra equation of the second kind?
Daniel VolinskiThat would be an equation like:
y(x) == integrate(exp(x-t)*y(t), t, 0, x)
and the solution is expected in the form $y(x) = ?$ where the right hand side is a function of $x$ not involving $y$.
Integral equation solver
Can Sage solve integral equations (where the unknown is a function and the equation involves integrals), either analytically or numerically?
For example, can Sage solve a Volterra equation of the second kind?kind?
That would be an equation like:
y(x) == integrate(exp(x-t)*y(t), t, 0, x)
and the solution is expected in the form $y(x) = ?$ where the right hand side is a function of $x$ not involving $y$.
Integral equation solver
Can Sage solve integral equations equations (where the unknown is a function function
and the equation involves integrals),
integrals), either analytically or numerically?
References:
For example, can Sage solve a Volterra equation of the second kind?
That would be an equation like:, such as
y(x) == integrate(exp(x-t)*y(t), t, 0, x)
and the The solution is expected in the form $y(x) = ?$ ...$ where the right hand side
is a an explicit function of $x$ not involving $y$.
Notice in the example the function $y$ appears in two places, once in the left hand side and the other inside the integral sign.
I am looking for something like what you see in
i.e., a command that would give the solution once I give the equation.
