A Novel Approach to the Numerical Solution of Boundary Value Problems on Infinite Intervals

DOI10.1137/S0036142993252042zbMath0855.65090MaRDI QIDQ4891720

Riccardo Fazio

Publication date: 3 February 1997

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical resultsboundary value problemsiterative methodfree boundaryinfinite intervalsthird-order ordinary differential equationnoniterative methodtruncated boundaryFalkner-Shan equation

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 (24)

The convergence of shooting methods for singular boundary value problems ⋮ The iterative transformation method: numerical solution of one-dimensional parabolic moving boundary problems ⋮ Blasius problem and Falkner-Skan model: Töpfer's algorithm and its extension ⋮ Spectral collocation solutions to systems of boundary layer type ⋮ The iterative transformation method for the Sakiadis problem ⋮ Free boundary formulation for BVPs on a semi-infinite interval and non-iterative transformation methods ⋮ Unnamed Item ⋮ Realization of exact three-point difference schemes for nonlinear boundary-value problems on the semiaxis ⋮ An adaptive algorithm for the Thomas-Fermi equation ⋮ On the equivalence of non-iterative transformation methods based on scaling and spiral groups ⋮ FINITE-DIFFERENCE METHOD OF ORDER SIX FOR THE TWO-DIMENSIONAL STEADY AND UNSTEADY BOUNDARY-LAYER EQUATIONS ⋮ An accuracy-preserving numerical scheme for parabolic partial differential equations subject to discontinuities in boundary conditions ⋮ A note on the transformation of boundary value problems to initial value problems: the iterative transformation method ⋮ A numerical test for the existeence and uniqeness of solution of free boundery problems ⋮ Numerical scaling invariance applied to the van der Pol model ⋮ Finite difference schemes on quasi-uniform grids for BVPs on infinite intervals ⋮ An iterative method for solving the Falkner-Skan equation ⋮ 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 ⋮ On the moving boundary formulation for parabolic problems on unbounded domains ⋮ 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 ⋮ A fixed point iteration method using Green's functions for the solution of nonlinear boundary value problems over semi-Infinite intervals

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