Blasius Equation using Euler & Modified Euler Method

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

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The Blasius equation is given by: f''' + 0.5 * f'' * f = 0, where f is a function of the similarity variable (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.

引用格式

Brijeshkumar (2026). Blasius Equation using Euler & Modified Euler Method (https://ww2.mathworks.cn/matlabcentral/fileexchange/154885-blasius-equation-using-euler-modified-euler-method), MATLAB Central File Exchange. 检索时间: .

Solving Blasius Equation using Modified Euler Method or Second Order Runge-Kutta Method

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1.0.0