How to input this particular complicated equation in Mathematica?

Question

  tornadom  = 
        (m)(Pi)/d
        (m π)/d
        lambdan  = 
        (n)(Pi)/h
        (n π)/h

u[x,y,t]= 
Re[F[x,y,t]] = 
(Q∘)Cos[(ω)(t)]-((16)(Q∘)/dh)
Sum[(Sin[tornado (x)]/tornado)Sin[lambda (y)/lambda],{{m,n},Infinity}]

Syntax::sntxi: Incomplete expression; more input is needed.

I am a beginner in mathematica and stuck in writing following equation,kindly help me to solve this problem.I'll be very thankful to you guys. p.s it is incomplete because i got an error.

Isn't Re[F[x,y,t]] a part of derivation not a part of final equation? Get rid of \[SmallCircle] next to the Q, it is an infix operator. Take a look at Sum's documentation and correct the syntax. — Kuba, Feb 25 '17 at 08:40
Sorry, didn't noticed MMM's answer. But some additional tips won't harm. — Kuba, Feb 25 '17 at 08:44
@MMM Neither equation-solving nor complex tags should belong to this post. If you edit try to make it consitent. — Artes, Feb 25 '17 at 11:05
hello @MMM sorry to disturb you again. if you don't mind then kindly review my this question. i cannot tag you there, so my apologies for using this thread. http://mathematica.stackexchange.com/questions/139170/how-to-input-given-complicated-equation-in-mathematica i will be very thankful to you. — Khubaib Ahmad, Mar 03 '17 at 20:45

zhk · Accepted Answer · 2017-02-25T07:54:39.583

If your question is, how to input the mathematical expression in to Mathematica, then here it is,

xi[m] = m*Pi/d;
lambda[n] = n*Pi/h;
F[x_, y_, t_] = Q0*Cos[w*t] 
            - 16*Q0/dh*Sum[ Sum[Sin[xi[m]*x]/xi[m]*Sin[lambda[n]*y]/lambda[n]*(g1[m, n, t] 
            - w*Integrate[(Cos[w*(t - s)]*g2[m, n, s] + Sin[w*(t - s)]*g1[m, n, s]), 
            {s, 0, t}]), {n, 0, Infinity}], {m, 0, Infinity}]

Note

You will get 1/0 because of xi[m] and lambda[n].

How to input this particular complicated equation in Mathematica?

1 Answers1