<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

Published Online: Jun 28, 2017

Page range: 271 - 284

Received: Apr 05, 2017

Accepted: Jun 28, 2017

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

Keywords
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.

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Solving Poisson’s Equations with fractional order using Haarwavelet

Published Online: Jun 28, 2017

Page range: 271 - 284

Received: Apr 05, 2017

Accepted: Jun 28, 2017

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

KeywordsFractional 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.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Keywords
Fractional Poisson’s equation, Finite difference, Wavelet, Haar Wavelet