Analysis of fractional systems using haar wavelet

2Citations
Citations of this article
1Readers
Mendeley users who have this article in their library.
Get full text

Abstract

Wavelets are relatively new tool and have quite been thriving domain in mathematical research. Numerical solutions of differential and integral equations require development of accurate and fast algorithms based on wavelets. This is more pertinent for those problems having localized solutions, both in position and scale. Haar wavelet offers a promising solution bases due to simple mathematical expressions and multi-resolution properties. In this paper, A Haar wavelet based method to solve partial differential equations (PDE) modeling fractional systems is presented. Operational approach is based on representing various integro-differential mathematical operations in terms of matrices. In this article, firstly introduction of Haar wavelet and different operational matrices used for the analysis of fractional systems are presented. A modified computational technique is explained to solve variety of partial differential equations modeling systems of fractional order. This method achieves the solutions by solving Sylvester equation using MATLAB. Demonstrations are provided with the help of two illustrative examples by suitable comparisons with exact solutions.

Cite

CITATION STYLE

APA

Abdul Khader Valli, T., & Mittal, M. (2019). Analysis of fractional systems using haar wavelet. International Journal of Innovative Technology and Exploring Engineering, 8(9 Special Issue), 455–459. https://doi.org/10.35940/ijitee.I1072.0789S19

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free