1:weight_option: 0 or 1, 0 ---> fixed weight, 1 ---> self_adapt weight
2: weight of the self_adapte weight: 0 ---> single value, 1 ---> vectors value
3: w1: residual weight
4: w2: initial condition weight
5: N_pde: number of collocationts points
6: N_i: number of initial points
7: N_b: number of boundary points 
