I Projective Methods For Stiff Differential Equations

mt2019
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Good evening,
https://pdfs.semanticscholar.org/688b/e703a59a4a0c6fc96b4e42c38c321cd4d5b8.pdf
Do you know :PROJECTIVE METHODS FOR STIFF DIFFERENTIAL EQUATIONS
I have to make a program to solve a first-order differential equation according to this method but I do not arrive despite my efforts. I'm coming back to you to help me find the algorithm. Thank you
Good evening,
https://pdfs.semanticscholar.org/688b/e703a59a4a0c6fc96b4e42c38c321cd4d5b8.pdfDo you know :PROJECTIVE METHODS FOR STIFF DIFFERENTIAL EQUATIONS
I have to make a program to solve a first-order differential equation according to this method but I do not arrive despite my efforts. I'm coming back to you to help me find the algorithm. Thank you
 
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You cannot expect that people will study this 16 pages paper to solve your problem. So either you hope that someone already knows what you presented, or you must be more specific, i.e. people could be able to help you on specific steps, which you should prepare for this matter.
 
fresh 42 thanks for your reply. my problem is summarized in this page. I want an algorithm for projective forward Euler method.
 

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Thread 'Volterra equation of the second kind'

There is the following linear Volterra equation of the second kind $$ y(x)+\int_{0}^{x} K(x-s) y(s)\,{\rm d}s = 1 $$ with kernel $$ K(x-s) = 1 - 4 \sum_{n=1}^{\infty} \dfrac{1}{\lambda_n^2} e^{-\beta \lambda_n^2 (x-s)} $$ where $y(0)=1$, $\beta>0$ and $\lambda_n$ is the $n$-th positive root of the equation $J_0(x)=0$ (here $n$ is a natural number that numbers these positive roots in the order of increasing their values), $J_0(x)$ is the Bessel function of the first kind of zero order. I...
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