Numerical Methods in Python Series - Bisection Method

Numerical Methods in Python Series - Bisection Method

this tutorial will show you how to solve non linear equation in Python using Bisection Method

the function is

f(x) = e^x - 5x^2

with interval between

a = 0 to b = 1

and

epsilon = 0.00001

steps:
1. watch previous video:
Numerical Methods in Python Series - Calculating Taylor Series for Exponential Function

Numerical Methods in Python Series - Solving Non Linear Equations

2. the pseudocode


3. the result shows that the solution is convergence to 0.605263

4. try for

f(x) = x^3 - 2x^2 -5

with interval between

a = 2 to b = 3

with
epsilon = 0.00001

5. the result shows that the solution is convergence to 2.690651

6. try for

f(x) = x^3 - x - 2

with interval between

a = 1 to b = 2

with
epsilon = 0.00001

7. the result shows that the solution is convergence to 1.521385

we will learn more about solving non linear equations with regula falsi method in the next tutorial ;)

you can get the code from GitHub:

References:

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Intro and Outro created by ProCodeCG Kids: Islamey Fawwaz Alfattan