<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The algebraic structure of the linear system appears in solving fractional order Poisson’s equation by Haar wavelet collocation approach is considered. The fractional derivative is described in the Caputo sense. Comparison with the classical integer case as a limiting process is illustrated. Numerical comparison is made between the solution using the Haar wavelet method and the finite difference method. The results confirms the accuracy for the Haar wavelet method.</p></abstract>

The algebraic structure of the linear system appears in solving fractional order Poisson’s equation by Haar wavelet collocation approach is considered. The fractional derivative is described in the Caputo sense. Comparison with the classical integer case as a limiting process is illustrated. Numerical comparison is made between the solution using the Haar wavelet method and the finite difference method. The results confirms the accuracy for the Haar wavelet method.

Solving Poisson’s Equations with fractional order using Haarwavelet

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Solving Poisson\u2019s Equations with fractional order using Haarwavelet"}

The algebraic structure of the linear system appears in solving fractional order Poisson’s equation by Haar wavelet collocation approach is considered. The...

Solving Poisson’s Equations with fractional order using Haarwavelet

Publié en ligne: 28 juin 2017

Pages: 271 - 284

Reçu: 05 avr. 2017

Accepté: 28 juin 2017

DOI: https://doi.org/10.21042/AMNS.2017.1.00023

Mots clés
Fractional Poisson’s equation, Finite difference, Wavelet, Haar Wavelet

© 2017 I. K. Youssef, M. H. El Dewaik, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Solving Poisson’s Equations with fractional order using Haarwavelet

Publié en ligne: 28 juin 2017

Pages: 271 - 284

Reçu: 05 avr. 2017

Accepté: 28 juin 2017

DOI: https://doi.org/10.21042/AMNS.2017.1.00023

Mots clésFractional Poisson’s equation, Finite difference, Wavelet, Haar Wavelet

© 2017 I. K. Youssef, M. H. El Dewaik, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Fractional Poisson’s equation, Finite difference, Wavelet, Haar Wavelet