A collocation method for singularly perturbed two-point boundary value problems with splines in tension

DOI10.1007/BF02127696zbMath0876.65058MaRDI QIDQ675687

Mladen Rogina, Miljenko Marušić

Publication date: 12 November 1997

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencecollocation methodsingular perturbationerror boundspline in tension

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (8)

Numerical Solution of Singularly Perturbed Non-Linear Two Point Boundary Value Problems by Spline in Compression ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Non-uniform exponential tension splines ⋮ High-order exponentially fitted difference schemes for singularly perturbed two-point boundary value problems ⋮ Quadratic convergence of approximations by CCC-Schoenberg operators ⋮ Singularly perturbed advection-diffusion-reaction problems: comparison of operator-fitted methods ⋮ Spline techniques for solving singularly-perturbed nonlinear problems on nonuniform grids ⋮ Tension spline collocation methods for singularly perturbed Volterra integro-differential and Volterra integral equations

Cites Work

• Numerical solution of stiff and convection-diffusion equations using adaptive spline function approximation
• Solving singularly perturbed boundary-value problems by spline in tension
• Theory of exponential splines
• Sharp error bounds for interpolating splines in tension
• Collocation with Polynomial and Tension Splines for Singularly-Perturbed Boundary Value Problems
• A Collocation Method for Two-Point Boundary Value Problems
• Local bases for generalized cubic splines
• An Interpolation Curve Using a Spline in Tension
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