numerical-computing - learnwithnewskill

Model 1: Roots of Nonlinear Equations

Methods for solving equations numerically:

Bisection Method
Newton-Raphson Method
Secant Method
Regula Falsi Method

Model 2: Linear Algebraic Equations

Solving systems of linear equations:

Gaussian Elimination
LU Decomposition
Gauss-Seidel Method
Jacobi Method

Model 3: Interpolation and Curve Fitting

Polynomial interpolation methods:

Lagrange Interpolation
Newton’s Divided Difference Method

Model 4: Numerical Differentiation and Integration

Differentiation methods:

Forward Difference Formula
Backward Difference Formula
Central Difference Formula

Model 5: Numerical Solution of Ordinary Differential Equations (ODEs)

Initial value problems (IVPs):

Euler’s Method

Model 6: Tools and Programming Implementation

Programming Languages:

Python
MATLAB
C++