Efficient finite differences for parameter-dependent singularities in two-point boundary value problems

DOI10.1016/S0045-7825(01)00182-7zbMath0993.65085MaRDI QIDQ5947170

Basem S. Attili

Publication date: 21 October 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

numerical examplesfinite difference schemesturning pointRichardson extrapolationbifurcation pointNewton-type methodstwo-point boundary value problemsLU-factorization

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (8)

A simple solution of the Bratu problem ⋮ Superconvergence and the computation of generalized turning points for B.V.P's ⋮ On the integral solution of the one-dimensional Bratu problem ⋮ Numerical continuation through folds with step control ⋮ The modified Broyden-variational method for solving nonlinear elliptic differential equations ⋮ Numerical Computation of Cusp Singularities for Operator Equations ⋮ An efficient method for solving Bratu equations ⋮ The Potential Of Parallelism In The Computation Of Simple Turning Points For Boundary Value Problems

Cites Work

• Numerical methods for bifurcation problems. Proceedings of the Conference at the University of Dortmund, August 22-26, 1983
• A direct method for the characterization and computation of bifurcation points with corank 2
• The Bordering Algorithm and Path Following Near Singular Points of Higher Nullity
• Characterization and Computation of Generalized Turning Points
• Non-simple Turning Points and Cusps
• Numerical computation of symmetry-breaking bifurcation points
• Branching of Solutions of Nonlinear Equations
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