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Numerical Methods
Presentation
Presentation Topic: Bisection Methods
Group Name: Ethernet
Ethernet Group
Md. Touhidur RahmanMd. Touhidur Rahman
Student ID: 152-15-6232Student ID: 152-15-6232
Algorithm of Bisection Method
Algorithm of Bisection Method
Proceeding this way the following table is required.
Ethernet Group
Sree Joyanto ChandroSree Joyanto Chandro
BarmonBarmon
Student ID: 152-15-6236Student ID: 152-15-6236
Using bisection method find the root of the equation X3
-2X-
3=0, where €=0.0001.
Proceeding this way the following table is required.
a b xr F(xr)
1 2 1.5 -2.625
1.5 2 1.75 -1.1406
1.75 2 1.875 -0.15820
1.875 2 1.9375 0.3982
1.875 1.9375 1.906 0.1121
1.875 1.906 1.8905 -0.0243
1.8905 1.906 1.8983 0.0440
1.8905 1.8983 1.8944 0.00973
1.8905 1.8944 1.8924 -0.00777
1.8924 1.8944 1.8934 0.00097
1.8924 1.8934 1.8930 0.00253
Ethernet Group
Hasan. Md. SadHasan. Md. Sad
AbdullahAbdullah
Student ID: 152-15-6235Student ID: 152-15-6235
Using bisection method. Find the root of the equation X3-X
-2 = 0 where = 0.0001ε
Proceeding this way the following table is required.
a b Xr F(Xr)
1 2 1.5 -
1.5 2 1.75 +
1.5 1.75 1.625 +
1.5 1.625 1.5625 +
1.5 1.5625 1.53125 +
1.5 1.53125 1.51562 -
1.51562 1.53135 1.52343 +
1.51562 1.52343 1.51953 -
1.51953 1.52343 1.52148 +
1.51953 1.52148 1.52050 -
1.52050 1.52148 1.52099 -
1.52099 1.52148 1.52124 -
1.52124 1.52148 1.52136 -
Ethernet Group
Tusher Chandro GhoshTusher Chandro Ghosh
Student ID: 152-15-6237Student ID: 152-15-6237
Using bisection method. Find the root of the equation X3-
3X - 6= 0 where = 0.0001ε
Proceeding this way the following table is required.
a b xr F(xr)
2 3 2.5 +
2 2.5 2.25 -
2.25 2.5 2.375 +
2.25 2.375 2.3125 -
2.3125 2.375 2.34375 -
2.34375 2.375 2.359375 +
2.34375 2.359375 2.3515625 -
2.3515625 2.359375 2.35546875 +
2.3515625 2.35546875 2.353515625 -
2.353515625 2.35546875 2.354492188 -
2.354492188 2.35546875 2.354980469 +
Thank YouThank You

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Numerical presentation

  • 1. Numerical Methods Presentation Presentation Topic: Bisection Methods Group Name: Ethernet
  • 2. Ethernet Group Md. Touhidur RahmanMd. Touhidur Rahman Student ID: 152-15-6232Student ID: 152-15-6232
  • 5.
  • 6. Proceeding this way the following table is required.
  • 7.
  • 8. Ethernet Group Sree Joyanto ChandroSree Joyanto Chandro BarmonBarmon Student ID: 152-15-6236Student ID: 152-15-6236
  • 9. Using bisection method find the root of the equation X3 -2X- 3=0, where €=0.0001.
  • 10. Proceeding this way the following table is required. a b xr F(xr) 1 2 1.5 -2.625 1.5 2 1.75 -1.1406 1.75 2 1.875 -0.15820 1.875 2 1.9375 0.3982 1.875 1.9375 1.906 0.1121 1.875 1.906 1.8905 -0.0243 1.8905 1.906 1.8983 0.0440 1.8905 1.8983 1.8944 0.00973 1.8905 1.8944 1.8924 -0.00777 1.8924 1.8944 1.8934 0.00097 1.8924 1.8934 1.8930 0.00253
  • 11.
  • 12. Ethernet Group Hasan. Md. SadHasan. Md. Sad AbdullahAbdullah Student ID: 152-15-6235Student ID: 152-15-6235
  • 13. Using bisection method. Find the root of the equation X3-X -2 = 0 where = 0.0001ε
  • 14. Proceeding this way the following table is required. a b Xr F(Xr) 1 2 1.5 - 1.5 2 1.75 + 1.5 1.75 1.625 + 1.5 1.625 1.5625 + 1.5 1.5625 1.53125 + 1.5 1.53125 1.51562 - 1.51562 1.53135 1.52343 + 1.51562 1.52343 1.51953 - 1.51953 1.52343 1.52148 + 1.51953 1.52148 1.52050 - 1.52050 1.52148 1.52099 - 1.52099 1.52148 1.52124 - 1.52124 1.52148 1.52136 -
  • 15.
  • 16. Ethernet Group Tusher Chandro GhoshTusher Chandro Ghosh Student ID: 152-15-6237Student ID: 152-15-6237
  • 17. Using bisection method. Find the root of the equation X3- 3X - 6= 0 where = 0.0001ε
  • 18. Proceeding this way the following table is required. a b xr F(xr) 2 3 2.5 + 2 2.5 2.25 - 2.25 2.5 2.375 + 2.25 2.375 2.3125 - 2.3125 2.375 2.34375 - 2.34375 2.375 2.359375 + 2.34375 2.359375 2.3515625 - 2.3515625 2.359375 2.35546875 + 2.3515625 2.35546875 2.353515625 - 2.353515625 2.35546875 2.354492188 - 2.354492188 2.35546875 2.354980469 +
  • 19.
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