Open AccessSpline Methods for a Class of Singularly Perturbed Boundary Value Problems
Author(s) -
O. M. Ogunlaran,
O. A. Taiwo
Publication year - 2013
Publication title -
international journal of mathematical research
Language(s) - English
Resource type - Journals
eISSN - 2311-7427
pISSN - 2306-2223
DOI - 10.18488/journal.24/2013.2.1/24.1.1.10
Subject(s) - spline (mechanical) , boundary value problem , perfect spline , mathematics , class (philosophy) , grid , m spline , thin plate spline , mathematical analysis , mathematical optimization , computer science , spline interpolation , geometry , engineering , statistics , structural engineering , artificial intelligence , bilinear interpolation
In this paper, we develop numerical methods based on a non-polynomial spline function with uniform grid for solving certain class of singularly perturbed boundary value problems. The proposed methods are second-order and fourth-order accurate. Numerical examples are provided to demonstrate the efficiency of the proposed methods.