| Autor: |
Al-Khaled, Kamel, Ajeel, Mahmood Shareef, Darweesh, Amer, Al-Khalid, Hala |
| Předmět: |
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| Zdroj: |
Results in Nonlinear Analysis; 2024, Vol. 7 Issue 3, p1-8, 8p |
| Abstrakt: |
The Blasius equation is a well-known third-order nonlinear ordinary differential equation that can be found in some fluid dynamics boundary layer problems. In this paper, we convert the nonlinear differential equation to an integral equation, this integral equation has a shifted kernel. Our goal is to propose an efficient modification of the standard Adomian decomposition method, combined with the Laplace transform, for solving the Blasius equation. The main impediment to solving the Blasius equation is the absence of the second derivative at zero. Once this derivative has been correctly evaluated, an analytical solution to the Blasius problem can be easily found; as a result, we use our approximate solution to estimate the value of y″(0), also known as the Blasius constant. Understanding the Blasius constant is essential for calculating shear stress at a plate. Furthermore, once this value is determined, we have the initial value problem, which can be solved numerically. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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