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A Mathematical Model For Simulation of A Water Table Profile Between Two Parallel Subsurface Drains Using Fractional Derivatives

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dc.contributor.advisor Baleanu, Dumitru
dc.contributor.author Mehdinejadiani, Behrouz
dc.contributor.author Naseri, Abd Ali
dc.contributor.author Jafari, Hossein
dc.contributor.author Ghanbarzadeh, Afshin
dc.date.accessioned 2020-05-11T13:29:05Z
dc.date.available 2020-05-11T13:29:05Z
dc.date.issued 2013-09
dc.identifier.issn 0898-1221
dc.identifier.issn 1873-7668
dc.identifier.uri http://hdl.handle.net/20.500.12416/3682
dc.description.abstract By considering the initial and boundary conditions corresponding to parallel subsurface drains, the linear form of a one-dimensional fractional Boussinesq equation was solved and an analytical mathematical model was developed to predict the water table profile between two parallel subsurface drains. The developed model is a generalization of the Glover-Dumm's mathematical model. As a result, the new model is applicable for both homogeneous and heterogeneous soils. It considers the degree of heterogeneity of soil as a determinable parameter. This parameter was called the heterogeneity index. The laboratory and field tests were conducted to study the performance of the proposed mathematical model in a homogenous soil and in an agricultural soil. The optimal values of parameters of the fractional model developed in this study and Glover-Dumm's model were estimated using the inverse problem method. In the proposed inverse model, a bees algorithm (BA) was used. The results showed that in the homogenous soil, the heterogeneity index was nearly equal to 2 and therefore, the developed mathematical model reduced to the Glover-Dumm's mathematical model. The heterogeneity index of the experimental field soil considered was equal to 1.04; hence, this soil was classified as a very heterogeneous soil. In the experimental field soil, the proposed mathematical model better represented the water table profile between two parallel subsurface drains than the Glover-Dumm's mathematical model. Therefore, it appears that the proposed fractional model presented is a highly general and effective method to estimate the water table profile between two parallel subsurface drains, and the scale effects are robustly reflected by the introduced heterogeneity index. (C) 2013 Elsevier Ltd. All rights reserved. tr_TR
dc.language.iso eng tr_TR
dc.publisher Pergamon-Elsevier Science LTD tr_TR
dc.relation.isversionof 10.1016/j.camwa.2013.01.002 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Boussinesq Equation tr_TR
dc.subject Heterogeneity tr_TR
dc.subject Subsurface Drainage tr_TR
dc.subject Bess Algorithm tr_TR
dc.subject Glover-Dumm's Model tr_TR
dc.title A Mathematical Model For Simulation of A Water Table Profile Between Two Parallel Subsurface Drains Using Fractional Derivatives tr_TR
dc.type article tr_TR
dc.relation.journal Computers & Mathematics With Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 66 tr_TR
dc.identifier.issue 5 tr_TR
dc.identifier.startpage 785 tr_TR
dc.identifier.endpage 794 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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