Bottom ScienceFortran Programming
Numerical Methods
- Bisection Method
- Regula Falsi (False Position)
- Newton Raphson Method
- Secant method
- Newton Raphson – Non-Linear Equations
- Gauss Elimination Method
- Gauss Elimination Method (With Pivoting)
- Gauss Jordan Method
- Gauss Elimination – Determinant
- Gauss Jordan – Inverse Matrix
- Lagrange Interpolation
- Newton Divided Interpolation
- Newton Forward Interpolation
- Least Square Fitting
- Trapezoidal Rule
- Simpson 1/3rd Rule
- Simpson 3/8 Rule
- Euler’s Method
- Euler’s Modified Method
- Runge Kutta’s (2nd Order)
- Runge Kutta’s (4th Order)
Fortran Code
PROGRAM euler_method IMPLICIT NONE REAL::x0=0,y0=-1,x,x1,y1,f,h x1=x0 y1=y0 PRINT *,'====================================================' PRINT *,"Program for Euler’s method [www.BottomScience.com]" PRINT *,'====================================================' PRINT *,'Step size (h)?' READ(*,*)h PRINT *,'value?' READ(*,*)x DO WHILE (x1<x) y1=y1+(h*f(x1,y1)) x1=x1+h PRINT *,x1,y1 END DO END PROGRAM
Fortran Programming
Numerical Methods
- Bisection Method
- Regula Falsi (False Position)
- Newton Raphson Method
- Secant method
- Newton Raphson – Non-Linear Equations
- Gauss Elimination Method
- Gauss Elimination Method (With Pivoting)
- Gauss Jordan Method
- Gauss Elimination – Determinant
- Gauss Jordan – Inverse Matrix
- Lagrange Interpolation
- Newton Divided Interpolation
- Newton Forward Interpolation
- Least Square Fitting
- Trapezoidal Rule
- Simpson 1/3rd Rule
- Simpson 3/8 Rule
- Euler’s Method
- Euler’s Modified Method
- Runge Kutta’s (2nd Order)
- Runge Kutta’s (4th Order)
