Good evening, Please I stuck in a programme of a differential equation with Delay I want to solve the following equation:
T= 2,
homogen = D[f[x, t], t] - D[f[x, t], {x, 2}] + Integrate[ t*s*Sin[t] (f[x, s - 1])^2, {s, 0, t}]
+ (3 + Abs[f[x, t - 1]])/(40 Exp[t]* (1 + Abs[f[x, t - 1]])) == 0;
(*données initiales propres *)
ic = {f[x, t /; t <= 0] == x^2 t^2};
(* Condition aux bord de Dirichlet*)
bc = {f[0, t] == 0, f[\[Pi], t] == 0};
(*résolution analytique de l'équation *)
sol1 = NDSolveValue[{homogen, ic, bc}, f, {x, 0, \[Pi]}, {t, -T, T}]
