Numerical methods for fractional order singular partial differential equations with variable coefficients

Citation

Elbeleze, Asma Ali and Kilicman, Adem and M. Taib, Bachok (2014) Numerical methods for fractional order singular partial differential equations with variable coefficients. Mathematical Problems in Engineering, 2014. art. no. 398286. pp. 1-8. ISSN 1024-123X; ESSN: 1563-5147

Abstract

We implement relatively analytical methods, the homotopy perturbation method and the variational iteration method, for solving singular fractional partial differential equations of fractional order. The process of the methods which produce solutions in terms of convergent series is explained. The fractional derivatives are described in Caputo sense. Some examples are given to show the accurate and easily implemented of these methods even with the presence of singularities.

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Additional Metadata

Item Type:	Article
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1155/2014/398286
Publisher:	Hindawi Publishing Corporation
Keywords:	Numerical method; Fractional order; Singular partial differential equations; Variable coefficients
Depositing User:	Nurul Ainie Mokhtar
Date Deposited:	18 Dec 2015 01:34
Last Modified:	18 Dec 2015 01:34
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/398286
URI:	http://psasir.upm.edu.my/id/eprint/34680
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