Variable mesh spline approximation method for solving singularly perturbed turning point problems having boundary layer(s)

DOI10.1016/S0898-1221(01)00253-XzbMath1003.65085OpenAlexW2016632222WikidataQ126788929 ScholiaQ126788929MaRDI QIDQ1612513

Mohan K. Kadalbajoo, Kailash C. Patidar

Publication date: 25 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00253-x

zbMATH Keywords

convergencesingular perturbationnumerical examplescubic splinesboundary layermesh generationturning pointlinear second-order ordinary differential equationsvariable mesh spline approximation

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Cites Work

• Matched asymptotic expansions. Ideas and techniques
• Finite element methods on piecewise equidistant meshes for interior turning point problems
• Continuous and Numerical Analysis of a Multiple Boundary Turning Point Problem
• A Priori Estimates and Analysis of a Numerical Method for a Turning Point Problem
• Sufficient Conditions for the Uniform Convergence of a Difference Scheme for a Singularly Perturbed Turning Point Problem
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• Numerical Methods for Singular Perturbation Problems
• An Analysis of a Uniformly Accurate Difference Method for a Singular Perturbation Problem
• Semianalytic Numerical Studies of Turning Points Arising in Stiff Boundary Value Problems
• A Priori Estimates for Solutions of Singular Perturbations with a Turning Point
• On a Differential Equation of Boundary Layer Type
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