perpendicooler / Code-for-Numerical-Analysis-Executed-in-FORTRAN-and-MATLAB

This is a Git repository containing code for a numerical analysis lab using Fortran and MATLAB

Numerical Methods

This is a Git repository containing code for a numerical analysis lab using Fortran and MATLAB.Some of the system of linear equation are containg code using MATLAB The accompanying PDF file provides a comprehensive guide to the laboratory, which covers various numerical techniques for solving mathematical problems. The Fortran code in this repository provides examples of how to implement these techniques in practice, making it an ideal resource for students or professionals in the field of numerical analysis. The code is well-commented and thoroughly tested, ensuring its accuracy and reliability

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Contents

1.Root Findings

1.Bisection Method
2.Regula Falsi Method
3.Iteration Method
4.Newton-Rhapson Method

2.Interpolation

1.Finite Forward and Backward Difference
2.Forward Interpolation
3.Backward Interpolation
4.Lagrange Polynomial
5.Newton Divided Difference Interpolation

3.Numerical Integration

1.Trapezoidal Rule
2.Simpson's 1/3 rule
3.Simpson's 3/8 rule
4.Weddles's Rule
5.Gauss-Legendre (2 and 3 point formula)

4.Numerical Differentiation

1.Forward Differentiation
2.Backward Differentiation

5.System of linear Equation

1.Gauss Elimination Method
2.Gauss Jordan Method
3.Gauss Seidal Method
4.Gauss Jacobi Method
6.LU-Decompostion Method
7.Tri-diagonal System

6.Mathematical Methods (Laplace and Fourier)