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For example, in Maple:
PDE := diff(u(x,t),t)=1/10*diff(u(x,t),x,x);
IBC := {u(x,0)=1, u(0,t)=0, D[1] (u)(1,t)=0};
pds := pdsolve(PDE,IBC,numeric);
PDE := diff(u(x,t),t)=1/10*diff(u(x,t),x,x); IBC := {u(x,0)=1, u(0,t)=0, D[1] (u)(1,t)=0}; pds := pdsolve(PDE,IBC,numeric);
IBC := {u(x,0)=1, u(0,t)=0, D1D[1] (u)(1,t)=0};
IBC := {u(x,0)=1, u(0,t)=0, D1(1,t)=0};
