University:
Swansea University
Course:
MA-252 | Probability Theory
Academic year:

2023
Views:

366

Pages:

3
Author:

Amal J.

Runge- Kutta Method (Fourth Order)X.K1=hf(xo) yo)K2 = h f(x)+, yotki)K3= hf (20 th yo+k2)K4 = hf (xothr, yot K3) 2y, = yo +16 [KitQK2 +2K8+K4]Q. Find the value of ylide usingRK method of the 9thGiventhat dy = ji try; yas - =1dx.com+fixry) - - = yo tnyy(1==yo=1, h=0.1y,=.PCS@O y = = y(1-1)= = yo +1/1/20 (kit DK1= hf(xo,yo)= 0.1 0.1X2=O.2inska=hf = (xoth 2)2 spraidK23)hf(1+0.1 2K2 =K2 (= as 0.1 Restate newt= 0.1ofpa+8+st= 0.2365-bistK3= pl hf 0 (x6+1 210 yoth 2NOVIT)R3-2 12 +0-2365)2K3 FO.IF (105/01/-11)asK32001 [unise + 1.05 X1.11)= 0-23 =0.239 11. K4 = h-p ( 20th, yo t k3)K4 =0.1f (1+0.1, 1.0.239)Ky =0.1f (1.1), 1-239)K4=0.1 (1.209)9 + 1.1X1-239 Freshz 0.2898Y1= yo+ 6+ 2(0.239)foot 0.2898]y, = 1.2401n