Numerical Treatment of Singular BVPs: The New MATLAB Code bvpsuite

DOI10.1063/1.3241480zbMath1182.65122OpenAlexW1608845854MaRDI QIDQ5851449

Georg Kitzhofer, Othmar Koch, Ewa B. Weinmüller

Publication date: 22 January 2010

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3241480

zbMATH Keywords

boundary value problemscollocation methodsmesh adaptationa posteriori error estimationpathfollowingindex-1 differential algebraic equationssingularity of the first and second kind

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Implicit ordinary differential equations, differential-algebraic equations (34A09) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for differential-algebraic equations (65L80) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (4)

Automatic grid control in adaptive BVP solvers ⋮ Analysis and numerical simulation of positive and dead-core solutions of singular two-point boundary value problems ⋮ Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation ⋮ bvpsuite

Uses Software

• Matlab

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