Indian Journal of Industrial and Applied Mathematics
  • Year: 2015
  • Volume: 6
  • Issue: 2

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

1Professor, Department of Mathematics, Guru Nanak Dev University, Amritsar, Punjab, India

2Research Scholar, Department of Mathematics, Guru Nanak Dev University, Amritsar, Punjab, India

*(Corresponding Author) E-mail Id: manudhamija20@yahoo.com

**pmanch2k1@yahoo.co.in

Abstract

Wavelet-based algorithms have become an important tool in numerical analysis for solving differential equations. Uniform Haar wavelet matrix methods have been used to find the numerical 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 estimation comparison for uniform and non-uniform Haar wavelet matrix methods.

Keywords

Haar functions, Uniform Haar wavelet, Non-uniform Haar wavelet, Integration of Haar function, Haar collocation technique, Matrix representation, Ordinary differential equations