The Falkner-Skan equation: Numerical solutions within group invariance theory

DOI10.1007/BF02575722zbMath0835.76023MaRDI QIDQ1901531

Riccardo Fazio

Publication date: 15 April 1996

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

convergenceinitial value problemswall shear stressFalkner-Skan equationiterative transformation methodfree boundary formulationHiemenz flowboundary condition at infinityHomann flowflow past wedge

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (13)

Blasius problem and Falkner-Skan model: Töpfer's algorithm and its extension ⋮ The iterative transformation method for the Sakiadis problem ⋮ Numerical solution to the Falkner-Skan equation: a novel numerical approach through the new rational \(a\)-polynomials ⋮ Free boundary formulation for BVPs on a semi-infinite interval and non-iterative transformation methods ⋮ Unnamed Item ⋮ On the equivalence of non-iterative transformation methods based on scaling and spiral groups ⋮ A note on the transformation of boundary value problems to initial value problems: the iterative transformation method ⋮ Finite difference schemes on quasi-uniform grids for BVPs on infinite intervals ⋮ A free boundary approach and keller's box scheme for BVPs on infinite intervals ⋮ Numerical transformation methods: Blasius problem and its variants ⋮ Numerical solution of the Falkner-Skan equation based on quasilinearization ⋮ A non-iterative transformation method for boundary-layer with power-law viscosity for non-Newtonian fluids ⋮ A survey on free boundary identification of the truncated boundary in numerical BVPs on infinite intervals

Uses Software

• IMSL Numerical Libraries

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A noniterative transformation method applied to two-point boundary-value problems
• An approximation theory for boundary value problems on infinite intervals
• Computational methods in engineering boundary value problems
• The Blasius problem formulated as a free boundary value problem
• On the first differential approximation method in the theory of difference schemes for hyperbolic systems of equations
• Transformation of boundary value problems into initial value problems
• On the differential equations of the simplest boundary-layer problems
• On a differential equation of boundary-layer theory
• Analysis of Boundary Value Problems on Infinite Intervals
• Finite difference solutions of boundary-layer type equations
• On the Transformation of a Class of Boundary Value Problems into Initial Value Problems for Ordinary Differential Equations
• Boundary Value Problems on Semi-Infinite Intervals and Their Numerical Solution
• A Theory for the Approximation of Solutions of Boundary Value Problems on Infinite Intervals
• Chebyshev solution of laminar boundary layer flow
• Exact shooting and eigenparameter problems
• Reverse flow solutions of the Falkner‐Skan equation for λ > 1
• An estimate of the error due to the truncated boundary in the numerical solution of the Blasius equation

This page was built for publication: The Falkner-Skan equation: Numerical solutions within group invariance theory