Newton Raphson

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Método de Newton Raphson Ecuacion coeficientes 0 1 1 2 -1 3 bz= 0.1660 4 c= -0.0061 5 6 7 3 8 2z= 2 9 z= z= 0.8026373 f(z)=z 3 +az 2 +bz+c=0 z 3 = az 2 = f'(z)=3z 2 +2z+z=0 3z 2 =

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Propiedades de los fluidos petroleros

Transcript of Newton Raphson

Page 1: Newton Raphson

Método de Newton Raphson

Ecuacion coeficientes 01

1 2-1 3

bz= 0.1660 4c= -0.0061 5

67

3 82z= 2 9

z=

z= 0.8026373

f(z)=z3+az2+bz+c=0z3=

az2=

f'(z)=3z2+2z+z=03z2=

Page 2: Newton Raphson

f(z) f'(z) era0.8026373 -1.6147446E-08 4.3405918 0.80263730372 4.634849E-07

0.80263730372 -1.4311786E-08 4.3405918 0.802637307017 4.107954E-070.80263730702 -1.2684807E-08 4.3405919 0.80263730994 3.640957E-070.80263730994 -1.1242784E-08 4.3405919 0.80263731253 3.227049E-070.80263731253 2.27464363353 4.3405919 0.278597346589 65.2897588690.27859734659 0.49507995746 1.0686415 -0.184682401304 166.29007906-0.1846824013 -0.4158934635 -0.4517244 -1.10536198038 498.52047221-1.1053619804 -4.7892300891 0.3493894 12.60206685875 1240.085065612.6020668588 1867.74648758 514.24247 8.970032158941 28.8209445368.97003215894 641.274436707 268.29453 6.57984387138 26.6463736726.57984387138 241.569565688 149.62257 4.965317604695 24.537455573

4.9653176047 97.7563207464 88.85909 3.865190186894 22.1562346133.86519018689 42.7989460274 56.414656 3.106540768752 19.627738393.10654076875 20.3232509644 38.271409 2.57551116932 17.0939201822.57551116932 10.4446497266 27.626307 2.197442186727 14.6793765492.19744218673 5.77602955043 21.078583 1.923418570617 12.4701172011.92341857062 3.41010101329 16.868873 1.721265108861 10.5101128191.72126510886 2.13080877979 14.052056 1.56962831123 8.80961316481.56962831123 1.39729008828 12.100084 1.454150593582 7.35701037131.45415059358 0.95420393101 10.706114 1.36502358034 6.12914602071.36502358034 0.67402255883 9.6849389 1.29542865897 5.09844096271.29542865897 0.48964729389 8.9206922 1.24053972407 4.23712525731.24053972407 0.364053916 8.3384356 1.19687998575 3.51941477351.19687998575 0.27591285194 7.8882051 1.161902085213 2.9224233803

zj+1 zj+1=zj-(f(z)/f'(z)