ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Fri, 08 Jan 2021 11:04:10 +0100Integral equation solverhttps://ask.sagemath.org/question/55185/integral-equation-solver/Can Sage solve integral equations (where the unknown is a function
and the equation involves integrals), either analytically or numerically?
References:
- [Encyclopedia of math: integral equations](https://encyclopediaofmath.org/wiki/Integral_equation)
- [Wikipedia: integral equations](https://en.wikipedia.org/wiki/Integral_equation)
For example, can Sage solve a [Volterra equation of the second kind](https://en.wikipedia.org/wiki/Volterra_integral_equation), such as
y(x) == integrate(exp(x-t)*y(t), t, 0, x)
The solution is expected in the form $y(x) = ...$ where the right hand side
is 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
- [Wolfram Language: solve a Volterra integral equation](https://www.wolfram.com/language/11/symbolic-and-numeric-calculus/solve-a-volterra-integral-equation.html)
i.e., a command that would give the solution once I give the equation.danielvolinskiFri, 08 Jan 2021 11:04:10 +0100https://ask.sagemath.org/question/55185/