Question: Iteration formula

 

``

restart

with(LinearAlgebra):

"for k from 0 to 1 do;    u(t,x):=1+x;  u[k+1](t,x):=1+x-(∫)[0]^(t)(diff(u[k],x) +2+s+x)ⅆs;  U[k+1](t,x)=u[k+1 ](t,x)-(u[k](t,0)-(1+t));  end      "

Error, invalid operator parameter name

> restart;
> with(LinearAlgebra);
> for k from 0 to 1 do;    u(t,x):=1+x;  u[k+1](t,x):=1+x-(∫)[0]^(t)(diff(u[k],x) +2+s+x)ⅆs;  U[k+1](t,x)=u[k+1 ](t,x)-(u[k](t,0)-(1+t));  end      ;

 

``

``


 

Download ITRATIVE.mw

 

 

 PLS

HOW CAN I ITERATE THIS PDE IN THE FORM OF PICARD ITERTION.

ATTACHED IS THE MAPLECODE  STARTED WITH.

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