Superconvergence and the computation of generalized turning points for B.V.P's

DOI10.1016/j.amc.2006.06.036zbMath1109.65065OpenAlexW2090116639MaRDI QIDQ865528

Basem S. Attili

Publication date: 19 February 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.036

zbMATH Keywords

numerical examplescollocationdirect methodprojection methodstwo point boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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 (4)

The numerical calculation of topological turning points ⋮ A simple solution of the Bratu problem ⋮ A direct method for the numerical computation of bifurcation points underlying symmetries ⋮ On the integral solution of the one-dimensional Bratu problem

Cites Work

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• A direct method for the characterization and computation of bifurcation points with corank 2
• Continuation method for computing certain singular points for index-1 differential algebraic equations
• Non-simple Turning Points and Cusps
• Projection Methods for Two-Point Boundary Value Problems
• Numerical Computation of Cusp Singularities for Operator Equations
• Branching of Solutions of Nonlinear Equations
• Collocation at Gaussian Points
• Efficient finite differences for parameter-dependent singularities in two-point boundary value problems

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