Splines difference methods for a singular perturbation problem

DOI10.1016/0168-9274(96)00011-6zbMath0859.65080OpenAlexW2080331962MaRDI QIDQ1924762

Mirjana Stojanovic

Publication date: 25 March 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(96)00011-6

zbMATH Keywords

singular perturbationuniform convergenceoptimal convergencesplines difference methods

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) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (8)

Solving a class of singularly perturbed partial differential equation by using the perturbation method and reproducing kernel method ⋮ Tension spline method for second-order singularly perturbed boundary-value problems ⋮ A variable-mesh approximation method for singularly perturbed boundary-value problems using cubic spline in tension ⋮ Numerical solution of singularly perturbed boundary value problems based on optimal control strategy ⋮ An improved extrapolated collocation technique for singularly perturbed problems using cubic B-spline functions ⋮ An Initial-Value Technique for Singularly Perturbed Boundary Value Problems via Cubic Spline ⋮ A boundary value approach for a class of linear singularly perturbed boundary value problems ⋮ A spline method for second-order singularly perturbed boundary-value problems

Cites Work

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• Numerical solution of a singularly perturbed problem via exponential splines
• Uniform and optimal schemes for stiff initial-value problems
• Solving singularly perturbed boundary-value problems by spline in tension
• A difference method for non-self-adjoint singular perturbation problem of second order
• Sufficient Conditions for Uniform Convergence of a Class of Difference Schemes for a Singularly Perturbed Problem
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• An Analysis of a Uniformly Accurate Difference Method for a Singular Perturbation Problem
• The Multivariable Method in Singular Perturbation Analysis

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