Solving Galerkin Approximations to Nonlinear Two-Point Boundary Value Problems by a Globally Convergent Homotopy Method

DOI10.1137/0908066zbMath0645.65043OpenAlexW2078705785MaRDI QIDQ3788983

L. Ridgway Scott, Layne T. Watson

Publication date: 1987

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: http://eprints.cs.vt.edu/archive/00000034/

zbMATH Keywords

Galerkin methodfinite element methodhomotopy methodcomputational resultsGalerkin approximationsnumerical implementationsChow-Yorke algorithmmagneto-hydrodynamics boundary value problem

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (5)

Tracing multiple solution branches for nonlinear ordinary differential equations: Chebyshev and Fourier spectral methods and a degree-increasing spectral homotopy [DISH] ⋮ Large deformations of rotating polygonal space structures ⋮ Globally convergent homotopy methods: A tutorial ⋮ Magnetohydrodynamic free convection from a disk rotating in a vertical plane ⋮ A new algorithm for calculating Adomian polynomials for nonlinear operators

Uses Software

• PITCON
• HOMPACK

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