Title
Intuitive approach to the approximate analytical solution for the Blasius problem
Abstract
For the Blasius problem, we propose an approximate analytical solution in the form of a logarithm of the hyperbolic cosine function which satisfies the given boundary conditions and some known properties of the exact solution. Furthermore, adding some hyperbolic tangent functions to this solution, we obtain much more accurate approximate solution with the relative error less than 0.16% over the whole region. The superiority of the proposed solutions is shown by comparison with the existing approximate analytical solution.
Year
DOI
Venue
2010
10.1016/j.amc.2009.09.050
Applied Mathematics and Computation
Keywords
Field
DocType
analytical solution,blasius problem,hyperbolic tangent,hyperbolic cosine,satisfiability,exact solution,analytic solution,boundary condition,relative error
Exact solutions in general relativity,Boundary value problem,Mathematical optimization,Mathematical analysis,Hyperbolic function,Logarithm,Numerical analysis,Approximate solution,Approximation error,Mathematics
Journal
Volume
Issue
ISSN
215
10
Applied Mathematics and Computation
Citations 
PageRank 
References 
2
0.44
3
Authors
1
Name
Order
Citations
PageRank
Beong In Yun18612.55