The BEM for numerical solution of partial fractional differential equations

Katsikadelis, JT

dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:37:16Z
dc.date.available	2014-03-01T01:37:16Z
dc.date.issued	2011	en
dc.identifier.issn	0898-1221	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21489
dc.subject	Analog equation method	en
dc.subject	Boundary element method	en
dc.subject	Diffusion-wave equation	en
dc.subject	Numerical methods	en
dc.subject	Partial fractional differential equations	en
dc.subject	Viscoelastic membranes	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Boundary elements	en
dc.subject.other	Diffusion wave equation	en
dc.subject.other	Fractional differential equations	en
dc.subject.other	Viscoelastic membranes	en
dc.subject.other	Boundary element method	en
dc.subject.other	Differential equations	en
dc.subject.other	Differentiation (calculus)	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Wave equations	en
dc.subject.other	Numerical methods	en
dc.title	The BEM for numerical solution of partial fractional differential equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.camwa.2011.04.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.camwa.2011.04.001	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	A numerical method is presented for the solution of partial fractional differential equations (FDEs) arising in engineering applications and in general in mathematical physics. The solution procedure applies to both linear and nonlinear problems described by evolution type equations involving fractional time derivatives in bounded domains of arbitrary shape. The method is based on the concept of the analog equation, which in conjunction with the boundary element method (BEM) enables the spatial discretization and converts a partial FDE into a system of coupled ordinary multi-term FDEs. Then this system is solved using the numerical method for the solution of such equations developed recently by Katsikadelis. The method is illustrated by solving second order partial FDEs and its efficiency and accuracy is validated. (C) 2011 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Mathematics with Applications	en
dc.identifier.doi	10.1016/j.camwa.2011.04.001	en
dc.identifier.isi	ISI:000294083500007	en
dc.identifier.volume	62	en
dc.identifier.issue	3	en
dc.identifier.spage	891	en
dc.identifier.epage	901	en