An iterative method based-on eigenfunctions and adjoint eigenfunctions for solving the Falkner-Skan equation

DOI10.1016/j.aml.2016.12.004zbMath1358.65053OpenAlexW2560760272MaRDI QIDQ511521

Chein-Shan Liu

Publication date: 21 February 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.12.004

zbMATH Keywords

convergenceiterative schemeeigenfunctionsFalkner-Skan equationbi-orthogonalityadjoint eigenfunctionsclosed-form coefficients

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Numerical methods for ordinary differential equations (65L99)

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Cites Work

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• The Lie-group shooting method for multiple-solutions of Falkner-Skan equation under suction-injection conditions
• Sturm and Liouville's work on ordinary linear differential equations. The emergence of Sturm-Liouville theory
• 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
• Biorthogonality condition for stokes flow in rectangular regions
• Stokes flow around a bend
• Biorthogonal Series Solution of Stokes Flow Problems in Sectorial Regions

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