Table 1.

Algorithm for solving problem P.

Algorithm 1: Solve problem P
Initial: $ϵ=10^{-2},\iota =ϵ/8,{ϵ}_{m}in=10^{-4},u=u_0$ and E = E0
Input:u0, E0 and np
Output: $u_{ϵ,\iota }^{*},E_{ϵ,\iota }^{*}$
(1): Solve problem P with u, E as initial point and outputuϵ, ιandEϵ, ι
(2): IF gj(t) − ι ≥ 0, ∀t = [0, T], j = 1, 2, …, nc THEN goto (6)
(3): ElSE goto (5)
(4): SET ϵ = ϵ/10, ι = ι/10, u = uϵ, ι, E = Eϵ, ι and goto (1)
(5): SET ι = ι/2 and goto (1)
(6): IF ι ≥ ιmin,THEN goto (1).
(7): ELSE stop and output $u_{ϵ,\iota }^{*},E_{ϵ,\iota }^{*}.$