i
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xi
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mi
|
ki
|
fih2
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To’g’ri yurish
|
Teskari yurish
|
di
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ci
|
yi
|
0
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|
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1
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|
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.
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.
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N
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2-bosqich. Teskari yurish.
1) Oldin yN aniqlanadi. Shu maqsadda (4) ikkinchi chegaraviy shart va (6) sistemaning j=N-2 bo’lgan holdagi
tenglamasi bo’yicha hosil qilinadigan ushbu
yN qiymati jaqvalning oxirida joylashtiriladi.
2) jadvalga oldin kiritilgan cj, dj va yj qiymatlardan foydalanib (6) rekurent formula bo’yicha ketma-ket yN-1,...y1 lar va chegaraviy shart bo’yicha y0 aniqlanadi.
Misol:
Chegaraviy masalaning xi=0.2∙i (i=0..5) nuqtalardagi yechimi topilsin.
h=0.2 N=5
p(x)=-2x q(x)=-2 f(x)=-4x
x0=0, y5=3
i
|
xi
|
mi
|
ki
|
fih2
|
To’g’ri yurish
|
Teskari yurish
|
di
|
ci
|
yi
|
0
|
0
|
-2
|
0.92
|
0
|
0
|
-0.8
|
0.98
|
1
|
0.2
|
-2.08
|
1
|
-0.032
|
-0.032
|
-0.78
|
1.17
|
2
|
0.4
|
-2.16
|
1.08
|
-0.064
|
-0.09
|
-0.76
|
1.47
|
3
|
0.6
|
-2.24
|
1.16
|
-0.096
|
-0.17
|
-0.74
|
1.85
|
4
|
0.8
|
-2.32
|
1.24
|
-0.128
|
|
|
2.34
|
5
|
1
|
-2.4
|
1.32
|
-0.16
|
|
|
3
|
Misol: h=0.1 0.5 ≤ x ≤ 1
Do'stlaringiz bilan baham: |
