Solving Poisson’s Equations with fractional order using Haarwavelet-Reference-Cited by-同舟云学术

Solving Poisson’s Equations with fractional order using Haarwavelet

Published:2017-01-01 Issue:1 Volume:2 Page:271-284
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Youssef I. K.¹,El Dewaik M. H.²

Affiliation:

1. Department of Mathematics , Ain Shams University , Cairo , Egypt

2. Department of Basic Science , The British University , Cairo , Egypt

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.21042/AMNS.2017.1.00023

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