- #1
unih
- 27
- 0
Hi dear all
I have some functional in Mathematica that depends on the functions (for example u1(x,y,t) u2(x,y,t) and others) and its derivatives.
I want to expand this functional in series of ε.
Its perturbation theory as you understand, and I should take into account that not only functions but also
derivatives (by themselfes) are also have scale, i.e (in my example) u1~u2~∂x~∂y~ε, ∂t~ε2 and I want to get smth up to ε2 (like for example u1(x,y)+u2(x,y)+u1(x,y)*u2(x,y)+∂xu1(x,y)+∂xu2(x,y)+∂yu1(x,y)+∂tf(x,y))
How to do it?
Thank you very much!
I have some functional in Mathematica that depends on the functions (for example u1(x,y,t) u2(x,y,t) and others) and its derivatives.
I want to expand this functional in series of ε.
Its perturbation theory as you understand, and I should take into account that not only functions but also
derivatives (by themselfes) are also have scale, i.e (in my example) u1~u2~∂x~∂y~ε, ∂t~ε2 and I want to get smth up to ε2 (like for example u1(x,y)+u2(x,y)+u1(x,y)*u2(x,y)+∂xu1(x,y)+∂xu2(x,y)+∂yu1(x,y)+∂tf(x,y))
How to do it?
Thank you very much!