Numerical solution of the Falkner--Skan equation using piecewise linear functions

DOI10.1016/j.amc.2003.10.047zbMath1098.65110OpenAlexW1979603088MaRDI QIDQ702601

Asai Asaithambi

Publication date: 17 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.10.047

zbMATH Keywords

Galerkin formulationCoordinate transformationAsymptotic boundary conditionCentered-differenceFalkner--Skan equationPiecewise linear elements

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (15)

Numerical solution of a generalized Falkner–Skan flow of a FENE-P fluid ⋮ Existence and numerical method for nonlinear third-order boundary value problem in the reproducing kernel space ⋮ On series solution for generalized Falkner-Skan flow of a FENE-P model ⋮ Existence of solutions of laminar boundary layer equations with decelerating external flows ⋮ Numerical solution to the Falkner-Skan equation: a novel numerical approach through the new rational \(a\)-polynomials ⋮ Optimization technique in solving laminar boundary layer problems with temperature dependent viscosity ⋮ An improved spectral homotopy analysis method for solving boundary layer problems ⋮ A numerical solution of Blasius equation on a semi-infinity flat plate ⋮ New results of Falkner-Skan equation arising in boundary layer theory ⋮ On the generalized Falkner-Skan equation governing boundary layer flow of a FENE-P fluid ⋮ Numerical solution for the Falkner-Skan equation ⋮ Solution of boundary layer problems with heat transfer by optimal homotopy asymptotic method ⋮ An iterative method for solving the Falkner-Skan equation ⋮ The solution of the Falkner‐Skan equation arising in the modelling of boundary‐layer problems via variational iteration method ⋮ Numerical solution of the Falkner-Skan equation based on quasilinearization

Cites Work

• Computational methods in engineering boundary value problems
• A finite difference method for the Falkner-Skan equation
• A numerical method for the solution of the Falkner-Skan equation
• Shooting and parallel shooting methods for solving the Falkner-Skan boundary layer equation
• On the differential equations of the simplest boundary-layer problems
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical solution of the Falkner--Skan equation using piecewise linear functions