A variable-mesh approximation method for singularly perturbed boundary-value problems using cubic spline in tension

DOI10.1080/00207160412331284169zbMath1064.65066OpenAlexW2035123047MaRDI QIDQ4652857

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Publication date: 28 February 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160412331284169

zbMATH Keywords

singular perturbationnumerical examplesboundary layerssecond-order ordinary differential equationstwo point boundary-value problemscubic spline in tensionheat transport problemsvariable-mesh difference scheme

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

Related Items (9)

A fitted mesh cubic spline in tension method for singularly perturbed problems with two parameters ⋮ A new numerical method based on non-polynomial spline in tension approximations for 1D quasilinear hyperbolic equations on a variable mesh ⋮ Nonlocal four-point boundary value problem for the singularly perturbed semilinear differential equations ⋮ A new algorithm based on spline in tension approximation for 1D quasi-linear parabolic equations on a variable mesh ⋮ Computational study for a class of time-dependent singularly perturbed parabolic partial differential equation through tension spline ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh ⋮ Non-polynomial splines method for numerical solutions of the regularized long wave equation

Cites Work

• Unnamed Item
• A spline method for second-order singularly perturbed boundary-value problems
• Splines difference methods for a singular perturbation problem
• Variable-mesh difference scheme for singularly-perturbed boundary-value problems using splines
• Variable Mesh Spline In Compression For The Numerical Solution Of Singular Perturbation Problems
• The use of cubic splines in the solution of two-point boundary value problems

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