Stability of a three-point scheme for linear second order singularly perturbed BVPs with turning points

DOI10.1016/0096-3003(92)90083-DzbMath0764.65043OpenAlexW1988837658MaRDI QIDQ1207810

S. Singh

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1016/0096-3003(92)90083-d

zbMATH Keywords

stabilitysingularityturning pointsLU factorizationvariable stepsizethree-point difference schemelinear second order perturbed boundary-value problems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) 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) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (6)

Absolutely stable difference scheme for a general class of singular perturbation problems ⋮ Bounds for the solutions of a class of tridiagonal linear systems ⋮ Numerical solution of singular perturbation problems ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ A review on singularly perturbed differential equations with turning points and interior layers ⋮ Boundary conditions and conditioning in the solution of discrete BVPs

Cites Work

• Unnamed Item
• Linear turning point theory
• Theory of difference equations: Numerical methods and applications
• Stability and spectral properties of incomplete factorization
• The Close Relationships between Methods for Solving Two-Point Boundary Value Problems
• Numerical Methods for Stiff Two-Point Boundary Value Problems
• Decoupling and Stability of Algorithms for Boundary Value Problems
• Boundary Value Problems and Dichotomic Stability
• A Riccati Transformation Method for Solving Linear BVP<scp>s</scp>. II: Computational Aspects
• On Collocation Implementation for Singularly Perturbed Two-Point Problems
• Stability of Block $LU$-Decompositions of Matrices Arising from BVP

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