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A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs

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dc.contributor.author Odibat, Zaid
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-02-12T07:11:38Z
dc.date.available 2020-02-12T07:11:38Z
dc.date.issued 2019-12
dc.identifier.citation Odibat, Zaid; Baleanu, Dumitru, "A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs", Mathematical Methods in the Applied Sciences, Vol. 42, No. 18, (2019). tr_TR
dc.identifier.issn 0170-4214
dc.identifier.uri http://hdl.handle.net/20.500.12416/2414
dc.description.abstract In this paper, a novel approach, namely, the linearization-based approach of homotopy analysis method, to analytically treat non-linear time-fractional PDEs is proposed. The presented approach suggests a new optimized structure of the homotopy series solution based on a linear approximation of the non-linear problem. A comparative study between the proposed approach and standard homotopy analysis approach is illustrated by solving two examples involving non-linear time-fractional parabolic PDEs. The performed numerical simulations demonstrate that the linearization-based approach reduces the computational complexity and improves the performance of the homotopy analysis method. tr_TR
dc.language.iso eng tr_TR
dc.publisher Wiley tr_TR
dc.relation.isversionof 10.1002/mma.5829 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Homotopy Analysis Method tr_TR
dc.subject Linearization-Based Approach of HAM tr_TR
dc.subject Series Solution tr_TR
dc.subject Time-Fractional Parabolic PDE tr_TR
dc.title A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs tr_TR
dc.type article tr_TR
dc.relation.journal Mathematical Methods in the Applied Sciences tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 42 tr_TR
dc.identifier.issue 18 tr_TR
dc.identifier.startpage 7222 tr_TR
dc.identifier.endpage 7232 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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