Exponentially fitted cubic spline for two-parameter singularly perturbed boundary value problems

DOI10.1080/00207160.2012.663492zbMath1255.65138OpenAlexW2132352808MaRDI QIDQ4903578

Mohan K. Kadalbajoo, Anuradha Jha

Publication date: 22 January 2013

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

Full work available at URL: https://doi.org/10.1080/00207160.2012.663492

zbMATH Keywords

singular perturbationscubic splinesfitted operator methodstwo parameters

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (7)

A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms ⋮ Uniformly convergent scheme for two‐parameter singularly perturbed problems with non‐smooth data ⋮ Fitted cubic spline scheme for two-parameter singularly perturbed time-delay parabolic problems ⋮ Singularly perturbed convection-diffusion boundary value problems with two small parameters using nonpolynomial spline technique ⋮ Generalized spline interpolation of functions with large gradients in boundary layers ⋮ Unnamed Item ⋮ Computational method for singularly perturbed two-parameter parabolic convection-diffusion problems

Cites Work

• Unnamed Item
• Unnamed Item
• A lower bound for the smallest singular value of a matrix
• Analysis of a finite-difference scheme for a singularly perturbed problem with two small parameters.
• A parameter robust second order numerical method for a singularly perturbed two-parameter problem
• Singular perturbations of boundary value problems for linear ordinary differential equations involving two parameters
• A robust fitted operator finite difference method for a two-parameter singular perturbation problem¹
• Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems
• Asymptotic methods in the theory of ordinary differential equations containing small parameters in front of the higher derivatives
• On the Asymptotic Solution of a Two-Parameter Boundary Value Problem of Chemical Reactor Theory

This page was built for publication: Exponentially fitted cubic spline for two-parameter singularly perturbed boundary value problems