Constructing Uniform Approximate Analytical Solutions for the Blasius Problem
Constructing Uniform Approximate Analytical Solutions for the Blasius Problem
We propose a simple constructive method which assures uniform accuracy of the approximate analytical solutions for the Blasius problem on the semi-infinite interval<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mfenced open="[" close="" separators="|"><mml:mrow><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mfenced open="" separators="|"><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:math>. The method is based on a weight function having an S-shape to reflect a series solution near the origin<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" …