Precise integration method for solving singular perturbation problems

DOI10.1007/s10483-010-1376-xzbMath1206.65185OpenAlexW2029316177MaRDI QIDQ618926

Man-chi Cheung, S. V. Sheshenin, Ming-Hui Fu

Publication date: 17 January 2011

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-010-1376-x

zbMATH Keywords

singular perturbationnumerical examplesboundary layerboundary-value problemsreduction methodblock tridiagonal matrix

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (2)

Coupling of high order multiplication perturbation method and reduction method for variable coefficient singular perturbation problems ⋮ A new method for reliability-based sensitivity analysis of dynamic random systems

Cites Work

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• A Uniformly Accurate Finite Element Method for a Singular Perturbation Problem in Conservative Form
• A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
• Combined method for the solution of asymmetric Riccati differential equations

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