Blasius Equation using Euler & Modified Euler Method

This MATLAB script is designed to solve the Blasius equation using the Euler and Modified Euler methods.

The Blasius equation is given by: f''' + 0.5 * f'' * f = 0, where f is a function of the similarity variable ⴄ (Dimensionless Coordinate). The goal is to solve this ODE subject to the following boundary conditions:

• f (ⴄ =0) = 0

• g (ⴄ =0) = 0

• g (ⴄ =∞) = 1 (here, we taken the ⴄ = 10 for coding purpose)

• h (ⴄ =∞) = 0

The primary task is to find the value of h (ⴄ =0) (guess value) such that g (∞) is close to 1. So, we have to solve above three- ODE’s using Euler and Modified Euler Method.

Using Newton-Raphson Method, we update the guess value for calculated Error being more than the specified permissible error.