In this project, some numerical calculations are implemented
Implemented following numerical calculation methods :
- Gauss Jordan Elimination solved example :
0.3𝑥 + 9𝑦 − 𝑧 + 3𝑤 − 2𝑚 = 17
7𝑥 + 𝑧 − 4𝑤 − 𝑚 = 3
6𝑥 + 2𝑧 + 2 𝑦 + 𝑚 + 8𝑤 = 1
−1.2𝑧 + 17𝑦 + 𝑤 − 𝑥 = 15
𝑦 + 2𝑤 + 𝑧 − 𝑥 = −7- Bisection Method solved example :
f(x) = x^3 + 4*x^2 - 2
where 0 < x < 1
and |f(x)| <= 0.004- Newton Raphson Method solved example :
f(x) = x^3 - cube root(x^4 + x^2 + 5)
where 0 < x < 3
and n = 15- Regula Falsi Method solved example :
f(x) = (x^3) - (2^((x)^(1/2)))
where 1 < x < 2
and remainder < 0.001- Finding roots ranges using Bisection and Location solved example :
f(x) = 𝑆𝑖𝑛(31𝑥) − 2𝑐𝑜𝑠(23𝑥) = 0
where -7 <= x <= 6.5
and remainder < 0.001- Power Method | Inverse Power Method solved example :
matrix = [[9, -3, -6],
[2, 8, 2],
[-5, 10, 7]]- Simpson Rule solved example :
Input is in provided text file named "Simpson_Rule_input"- Central Difference Method solved example :
Input is in provided text file named "Simpson_Rule_input" except first and last data- Second Derivative Central Difference Method solved example :
Input is in provided text file named "Simpson_Rule_input" for datas number 5 upto 9991Some methods has output plot as well.