▼

Leapfrog Method with RK2 as a Start-up Scheme in MATLAB

›
Let's consider the following differential equation: y'' + 10 y' + 500y = 0 Where, the initial conditions are, y(0) ...

Implicit Euler Method by MATLAB to Solve an ODE

›
In this example, an implementation of the Implicit Euler approach by MATLAB program to solve an ordinary differential equation (ODE) is...

Explicit Euler Method by MATLAB to Solve an ODE

›
In this example, an implementation of the Explicit Euler approach by MATLAB program to solve an ordinary differential equation (ODE) is p...

Learning Mathematica, Lesson 3: Integration

›
Integration becomes very handy if you choose to use Wolfram Mathematica . You can evaluate definite and indefinite integrals using two wa...

A Mathematica Program for the Newton Raphson Method

›
The following Mathematica program implements the widely used Newton Raphson approach. Any functions may be considered here, and the foll...

Finite Difference Approach by MATLAB for the First and Second Derivatives

›
The following MATLAB program determines the first and second derivatives of the data given in the problem applying the finite difference...

Learning Mathematica, Lesson 2: Solving Euler-Bernoulli Beam Equation

›
In this lesson, I would like to show the advantages of the Mathematica built-in solver to evaluate the analytical solution of a differe...

Linear Least Squares Regression Analysis by a MATLAB program

›
A MATLAB program is developed to determine the coefficients by linear least squares regression where the function is, y = mx + b . Here,...