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An algorithm for the numerical solution of two-sided space-fractional partial differential equations

Ford, Neville J.
; 
Pal, Kamal
; 
Yan, Yubin
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Affiliation
University of Chester
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2015-08-20
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Mathematics
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Abstract
We introduce an algorithm for solving two-sided space-fractional partial differential equations. The space-fractional derivatives we consider here are left-handed and right-handed Riemann–Liouville fractional derivatives which are expressed by using Hadamard finite-part integrals. We approximate the Hadamard finite-part integrals by using piecewise quadratic interpolation polynomials and obtain a numerical approximation of the space-fractional derivative with convergence order
Citation
Ford, N., Pal, K. & Yan, Y. (2015). An Algorithm for the numerical solution of two-sided space-fractional partial differential equations. Computational Methods in Applied Mathematics, 15(4), pp. 497-514. doi:10.1515/cmam-2015-0022
Publisher
De Gruyter
Journal
Computational Methods in Applied Mathematics
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URI
http://hdl.handle.net/10034/580013
DOI
10.1515/cmam-2015-0022
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Article
Language
en
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1609-9389
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