oE rm mAn u7c: ruHAp tvr0ru pHUdruc pHAp rfruH Thdi gian : 90' - Sinrh vi6n dudc phdp slt dUng tii lieu Trudng Dai hqc Su pham fp.. tht'tc nQi suy Newton vi tinh gdn dring giri tri hhm 5
Trang 1oE rm mAn u7c: ruHAp tvr0ru pHUdruc pHAp rfruH
Thdi gian : 90' - (Sinrh vi6n dudc phdp slt dUng tii lieu)
Trudng Dai hqc Su pham fp Hd Chi Mihh
Lop c0 nhdn Vat ly ll - 2006-2007
.4 Tjrn nghiQm gdn dung cfra phuong trinh: sin(x)
Newton vrli c16 chinh xdc nh6 hon 10 5 trong do4n [0;
- e-x = 0 bing phtfdng phr{p
rl.
2 Giii he phtrong trinh
vdi sai sd < l0-3: cho gid tri
phrrong phrip l{p Gauss-Seidel
tuydn tinh sau bing
ban ddu Id (0,0,0):
[tOx+ y-z=10
.l
{x+l0y*z=12
I ln-y+10:=10
l.
3 tinn rich phin xiic dinh
a) C6ng thrlc hinh thang vdi btJdc h = 0,25.
b) Cdng thric Simpson vdi btTdc'h = 0,25.
,Srl-sd.Cr+di,g+d -tli chlnh xdc' linh bii ng phrf'rrg-ph:ipgiii=Xith-=-,
4 Cho bing gi:i tri sau:
Drla vio bing tfOn, xdy dg'ng da
ta i x,,={
tht'tc nQi suy Newton vi tinh gdn dring giri tri hhm
5 Tim nghiQm xd'p xi bhng phddng phrip Euler cria
y(0) = I trong dqqn [0 ; 0'5] vdi h = 0,5.
SosilnhvrsinghiQmchinh xric li : Y=2e^ - x - 1.
phdclng trinh vi phf,n: y'= x * Y ,
6