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dc.contributor.authorAldoghaither, Abeer
dc.contributor.authorLaleg-Kirati, Taous-Meriem
dc.date.accessioned2019-11-11T14:42:56Z
dc.date.available2019-11-11T14:42:56Z
dc.date.issued2019-11-06
dc.identifier.citationAldoghaither, A., & Laleg-Kirati, T.-M. (2019). Parameter and differentiation order estimation for a two dimensional fractional partial differential equation. Journal of Computational and Applied Mathematics. doi:10.1016/j.cam.2019.112570
dc.identifier.doi10.1016/j.cam.2019.112570
dc.identifier.urihttp://hdl.handle.net/10754/659977
dc.description.abstractThis paper deals with the estimation of coefficients and differentiation orders for two-dimensional fractional partial differential equations. Recently, a hybrid method based on modulating functions has been proposed by the authors to estimate the coefficients and a differentiation order for a one dimensional fractional advection dispersion equation in Aldoghaither et al. (2015). We propose to extend this method to the two-dimensional case. First, the coefficients are estimated using a modulating functions method, where the problem is transferred into solving a system of algebraic equations. Then, the modulating functions method combined with a Newton algorithm is proposed to estimate the coefficients and the differentiation orders simultaneously. Numerical example is presented with noisy measurements to show the effectiveness and the robustness of the method.
dc.publisherElsevier BV
dc.relation.urlhttps://linkinghub.elsevier.com/retrieve/pii/S0377042719305758
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational and Applied Mathematics, [[Volume], [Issue], (2019-11-06)] DOI: 10.1016/j.cam.2019.112570 . © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectFractional partial differential equations
dc.subjectModulating functions
dc.subjectParameter estimation
dc.subjectNewton algorithm
dc.titleParameter and differentiation order estimation for a two dimensional fractional partial differential equation
dc.typeArticle
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentComputational Bioscience Research Center (CBRC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalJournal of Computational and Applied Mathematics
dc.eprint.versionPre-print
dc.contributor.institutionGeneral Education Department, Dar Al-Hekma University, Jeddah, Kingdom of Saudi Arabia
kaust.personLaleg-Kirati, Taous-Meriem
refterms.dateFOA2019-11-14T05:40:32Z
dc.date.published-online2019-11-06
dc.date.published-print2020-05


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