JuliaApproximation / JuliaApproximation/ApproxFun.jl
Document about solving Volterra equation (second kind)
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Description
I have seen a discussion here about solving Volterra eq of the second kind:
https://discourse.julialang.org/t/using-approxfun-jl-to-solve-a-volterra-equation-of-the-second-kind/40203
But I failed to adapt it to my case: $B(y) = f(y) + \int_0^y K(x, y)*B(x) dx$. For example, say K(x, y) = 1 - exp(x+y)
f(x) = 3x^3.
How to compute B()?
Besides, I can not find any description of that Volterra() in ApproxFun.jl
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First steps
- Read the whole issue, then the project's contributing guide.
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Research direction
Start with the linked Discourse discussion and the ApproxFun.jl Volterra() entry point mentioned in the issue. Document how to solve the stated second-kind Volterra equation, including the provided kernel and f(x)=3x^3 example, so users can compute B() and find the API description.
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Assessment
- Tech stack
- julia
- Domain
- documentation
- Issue type
- Documentation
- Difficulty
- 4/5
- Estimated time
- 3-5 days
- Activity status
- Stale
- Clarity
- Needs clarification
- Newbie friendliness
- 30/100