Dalamber usuli (xarakteristik usul) Tor tebranish tenglamasi. Dalamber formulasi

F(x):=x->piecewise(x<-L,0, x<0,alpha*(1+x/L),xL,0);

f(x):=0;

> plot(F(x),-16..16,-0.1..1.1, numpoints=400,color=blue,thickness=3);

Yechish uchun dalamber formulasidan foydalanamiz:

> restart;

> F(x):=x->piecewise(x<-L,0, x<0,alpha*(1+x/L),xL,0);

f(xi):=0;

> u(t,x):=subs(x=x-a*t,1/2*piecewise(x<-L,0, x<0,alpha*(1+x/L),xL,0))+(subs(x=x+a*t,1/2*piecewise(x<-L,0, x<0,alpha*(1+x/L),xL,0)));

Olingan yachimni ikki o'lchamli animirlangan grafik ko'rinishida tasvirlaymiz:

> with(plots):