Numerical Solution of the Falkner-Skan Equation Arising in Boundary Layer Theory Using the Sinc-Collocation Method

DOI10.1007/978-3-030-49716-3_7zbMath1474.65248OpenAlexW3162319092MaRDI QIDQ3382742

Basem S. Attili

Publication date: 21 September 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-49716-3_7

zbMATH Keywords

boundary value problemsboundary layerFalkner-Skan equationsinc-collocation method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Cites Work

• Unnamed Item
• Unnamed Item
• The Lie-group shooting method for multiple-solutions of Falkner-Skan equation under suction-injection conditions
• Numerical solution of the Falkner-Skan equation based on quasilinearization
• Mixed convection boundary-layer flow over a vertical surface embedded in a porous medium.
• Recent developments of the Sinc numerical methods.
• Existence of solutions to the third-order nonlinear differential equations arising in boundary layer theory
• Summary of Sinc numerical methods
• The iterative transformation method for the Sakiadis problem
• Solution of the Falkner-Skan equation by recursive evaluation of Taylor coefficients
• A new solution branch for the Blasius equation -- a shrinking sheet problem
• Sinc collocation method with boundary treatment for two-point boundary value problems
• Numerical solutions of the classical Blasius flat-plate problem
• The use of Sinc-collocation method for solving Falkner-Skan boundary-layer equation
• Positive Solutions of the Falkner–Skan Equation Arising in the Boundary Layer Theory
• Exact Analytic Solution of a Boundary Value Problem for the Falkner–Skan Equation
• Multiple Solutions of the Falkner–Skan Equation for Flow Past a Stretching Boundary
• Numerical Solution of Falkner-Skan Equation by Iterative Transformation Method
• Ordinary Differential Equations

This page was built for publication: Numerical Solution of the Falkner-Skan Equation Arising in Boundary Layer Theory Using the Sinc-Collocation Method