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I review this question Solving a Volterra integral equation numerically. But I can not understand that. I have the following code:

u[1][x_] = (-k)*(E^(Pi*x) + x); 
u[2][x_] = Refine[Integrate[(x - t)*E^u[1][t], {t, 0, x}], E^(Pi*x) >= 0]

K is constant. Any suggestions analytical or numerical?

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  • Could you expand on the reasons why the three approaches proposed in the linked question don't work for you? Perhaps that might restrict the question and encourage answers. – MarcoB Jun 26 '17 at 14:00
  • @MarcoB I can not understand that. I corrected the question. – Bahram Agheli Jun 26 '17 at 14:17
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    What exactly is the Volterra equation you wish to solve? Is it u[x] == Integrate[(x - t)*E^u[t], {t, 0, x}]? Whatever it is, it should be given explicitly in the question. – Daniel Lichtblau Jun 26 '17 at 14:43

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