Intuitive approach to the approximate analytical solution for the Blasius problem

DOI10.1016/j.amc.2009.09.050zbMath1183.65098OpenAlexW2073819770MaRDI QIDQ846458

Beong In Yun

Publication date: 9 February 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.09.050

zbMATH Keywords

analytical solutionnumerical examplesBlasius problemapproximate analytical solutionhyperbolic tangent functionslogarithm of the hyperbolic cosine function

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (8)

The optimal homotopy asymptotic method for solving Blasius equation ⋮ Solving a laminar boundary layer equation with the rational Gegenbauer functions ⋮ Solution of Blasius equation concerning with Mohand transform ⋮ Approximate analytical solutions using hyperbolic functions for the generalized Blasius problem ⋮ Constructing uniform approximate analytical solutions for the Blasius problem ⋮ A numerical solution of Blasius equation on a semi-infinity flat plate ⋮ Series solution of nanofluid flow and heat transfer between stretchable/shrinkable inclined walls ⋮ A new approach for a class of the Blasius problem via a transformation and Adomian's method

Cites Work

• On the analytic solutions of the nonhomogeneous Blasius problem
• An explicit, totally analytic approximate solution for Blasius' viscous flow problems
• A review of the decomposition method in applied mathematics
• Solution of the Thomas-Fermi equation
• Analytical approximations to the solution of the Blasius equation
• A new approximate iteration solution of Blasius equation
• Analytic solution for the Blasius equation.
• A simple perturbation approach to Blasius equation
• The variational iteration method for solving two forms of Blasius equation on a half-infinite domain
• The Blasius Function: Computations Before Computers, the Value of Tricks, Undergraduate Projects, and Open Research Problems
• A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate
• The Blasius Function in the Complex Plane
• Approximate analytical solution of Blasius' equation

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