A Quintic Spline-Based Computational Method for Solving Singularly Perturbed Periodic Boundary Value Problems

A Quintic Spline-Based Computational Method for Solving Singularly Perturbed Periodic Boundary Value Problems

This work aims to provide approximate solutions for singularly perturbed problems with periodic boundary conditions using quintic B-splines and collocation. The well-known Shishkin mesh strategy is applied for mesh construction. Convergence analysis demonstrates that the method achieves parameter-un...

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Bibliographic Details
Main Authors: Puvaneswari Arumugam, Valanarasu Thynesh, Chandru Muthusamy, Higinio Ramos
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Axioms
Subjects:
singular perturbation
periodical boundary conditions
parameter-uniform convergence
collocation points
quintic B-splines
Online Access:https://www.mdpi.com/2075-1680/14/1/73
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