Spline Methods for a Class of Singularly Perturbed Boundary Value Problems | Zendy

Oladotun Matthew Ogunlaran | Zendy; O. A. Taiwo | Zendy

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Spline Methods for a Class of Singularly Perturbed Boundary Value Problems

Author(s) -

Oladotun Matthew 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.

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