Numerical Solution of Singularly Perturbed Two-point BVPs Using Nonuniform Haar Wavelets

Abstract

A new method based on nonuniform Haar wavelets is proposed for the numerical solution of singularly perturbed two-point boundary value problems. Performance of the method is validated through numerical examples. Accuracy and efficiency of the suggested method is established through comparison with the existing spline and wavelet based techniques.

Keywords:

• Singular perturbation
• Haar wavelets
• Boundary layers
• Non-uniform
• Ordinary differential equation