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Questions which deal with or solve for functions expressed in integral form, i.e., one or more unknown functions that appear under an integral sign.

6 votes

Solving some integral equations

First, you don't need ds in your Integrate arguments: eqns = { y[t] == Integrate[s^(0.5 - 1)*(-0.02*y[s] - 0.06*(Abs[y[s] + 1] - Abs[y[s] - 1]) + 0.01*(Abs[z[s] + 1] - Abs[z[s] - 1]) - 0.02*(Abs[y[ …
Chris K's user avatar
  • 20.4k
13 votes

Solving the Lotka-McKendrick model with NDSolve

I'm not an expert on age-structured populations (particularly this continuous-time model) and I know better numerical methods exist, but why not just discretize in age a and solve the resulting large …
Chris K's user avatar
  • 20.4k