Which is the most accurate way to solve these equations?
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Davide Cannavacciuolo
il 6 Feb 2023
Commentato: Davide Cannavacciuolo
il 6 Feb 2023
Where for semplicity A, B, E can be assumed = 1. u, v and w are velocity components and t is time.
Also intial contitions can be assumed:
u(0)=0
v(0)=0
w(0)=0
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Dyuman Joshi
il 6 Feb 2023
"Which is the most accurate way to solve these equations?"
Generally, the most accurate way to solve any equation is analytically, if it can be solved analytically.
Using symbolic math toolbox -
syms u(t) v(t) w(t) A B E F
eq1 = diff(u,t)+A*B*w(t)*sin(F*t)==0;
eq2 = diff(v,t)==0;
eq3 = diff(w,t)-sin(F*t)*u(t)-A*E*sin(F*t)==0;
con1 = u(0)==0;
con2 = v(0)==0;
con3 = w(0)==0;
sol=dsolve([eq1 eq2 eq3],[con1 con2 con3]);
U(t)=sol.u
V(t)=sol.v
W(t)=sol.w
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