Initial-value technique for self-adjoint singular perturbation boundary value problems

DOI10.1007/s10598-009-9029-yzbMath1177.65110OpenAlexW1972357293MaRDI QIDQ1037054

J. Blot

Publication date: 13 November 2009

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-009-9029-y

zbMATH Keywords

singular perturbationnumerical examplestwo-point boundary value problemscubic spline methodinitial-value method

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)

Fourth-order stable central difference with Richardson extrapolation method for second-order self-adjoint singularly perturbed boundary value problems ⋮ A Haar wavelet multi-resolution collocation method for singularly perturbed differential equations with integral boundary conditions

Cites Work

• Numerical treatment of singularly perturbed two point boundary value problems using initial-value method
• On exponential splines
• Initial-value methods for second-order singularly perturbed boundary- value problems
• On the Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems in Two and One Dimensions
• A variational difference scheme for a boundary value problem with a small parameter in the highest derivative
• An Initial-Value Technique for Singularly Perturbed Boundary Value Problems via Cubic Spline
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