ВУЗ:
Составители:
Рубрика:
z := x → 0.2733 e
(−1.0 x)
+ 0.69877 e
(1.0 x)
3
2
+
x
2
−
24 sin(
π (x+1)
2
)
π (π
2
+ 4)
3
2
+
x
2
−
24 sin(
π (x + 1)
2
)
π (π
2
+ 4)
+
sin(π (x + 1))
π (1 + π
2
)
3
2
+
x
2
−
24 sin(
π (x + 1)
2
)
π (π
2
+ 4)
+
sin(π (x + 1))
π (1 + π
2
)
−
8 sin(
3 π (x + 1)
2
)
π (9 π
2
+ 4)
N= 1
solve
Metod Ritcha
1
1.2
1.4
1.6
1.8
2
–0.8
–0.4
0
0.4
0.8
x
èñïîëüçîâàíèåì ñèíóñîâ
>N:=3;c1:='cross':c2:='circle':c3:='box':
N:=3
>for j from 1 to N do
>a:=array(1..j):u:=Us(x,j):
>Ritz(F,u,1,j,a):
>pU_||j:=
>plot(Us(x,j),x=-1..1,color=black,style=point,
>symbol=c||j,title="Metod Pitcha",
>legend=cat("N=",convert(j,string))):
>end do:
>z:=(x)->0.2733*exp(-1.0*x)+0.69877*exp(1.0*x);
z := x → 0.2733 e(−1.0 x) + 0.69877 e(1.0 x)
>pz:=plot(z(x),x=-1..1,legend="solve",color=black):
>Us(x,1);Us(x,2);Us(x,3);
π (x+1)
3 x 24 sin( 2 )
+ −
2 2 π (π 2 + 4)
π (x + 1)
3 x 24 sin( 2
) sin(π (x + 1))
+ − +
2 2 π (π 2 + 4) π (1 + π 2 )
π (x + 1) 3 π (x + 1)
3 x 24 sin( 2
) sin(π (x + 1)) 8 sin(
2
)
+ − + −
2 2 π (π 2 + 4) π (1 + π 2 ) π (9 π 2 + 4)
>plots[display]({pUs_1,pz});
Metod Ritcha
2
1.8
1.6
1.4
1.2
1
–0.8 –0.4 0 0.4 x 0.8
N= 1
solve
Ðèñ. 4. Ãðàôèê ýêñòðåìàëåé ïðè èñïîëüçîâàíèè ñèíóñîâ
17
