Non-Uniform Haar Wavelet Matrix Method for Numerical Solution of Ordinary Differential Equations

Abstract

Wavelet-based algorithms have become an important tool in numerical analysis for solv-ing differential equations. Uniform Haar wavelet matrix methods have been used to find the numeri-cal solution of ordinary differential equations. We have applied the non-uniform Haar wavelet matrix methods to find the numerical solution of ordinary differential equations and presented an error esti-mation comparison for uniform and non-uniform Haar wavelet matrix methods.