Variable Mesh Spline In Compression For The Numerical Solution Of Singular Perturbation Problems

DOI10.1080/00207160304656zbMath1017.65066OpenAlexW2075005416MaRDI QIDQ4796497

Mohan K. Kadalbajoo, Kailash C. Patidar

Publication date: 11 August 2003

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

Full work available at URL: https://doi.org/10.1080/00207160304656

zbMATH Keywords

convergencesingular perturbationnumerical examplesboundary layerfinite difference schemestwo point boundary value problemssplines in compressionnon uniform grids

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) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

A new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equations ⋮ A new two-level implicit scheme of order two in time and four in space based on half-step spline in compression approximations for unsteady 1D quasi-linear biharmonic equations ⋮ A variable-mesh approximation method for singularly perturbed boundary-value problems using cubic spline in tension ⋮ B-SPLINE COLLOCATION METHOD FOR A SINGULARLY PERTURBED REACTION–DIFFUSION PROBLEM USING ARTIFICIAL VISCOSITY

Cites Work

• Unnamed Item
• Numerical solution of stiff and convection-diffusion equations using adaptive spline function approximation
• A finite element method for a singularly perturbed boundary value problem
• A class of simple exponential B-splines and their application to numerical solution to singular perturbation problems
• Spline function approximation in discrete mechanics
• A Hybrid Asymptotic-Finite Element Method for Stiff Two-Point Boundary Value Problems
• Collocation with Polynomial and Tension Splines for Singularly-Perturbed Boundary Value Problems