Laguerre wavelets spectral method for solving a class of fractional order PDEs arising in viscoelastic column modeling

The mechanical properties of the various materials could be influenced by external forces. The aim of this paper is to study the fractional order of viscoelastic column dynamic in Caputo sense. For this purpose, Laguerre wavelets and their operational matrices of integer and fractional orders are co...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2025-03, Vol.192, p.116010, Article 116010
Main Authors: Mahmoudi, Z., Khalsaraei, M. Mehdizadeh, Sahlan, M. Nosrati, Shokri, A.
Format: Article
Language:English
Subjects:
Caputo fractional derivative
Laguerre wavelets
Spectral methods
Viscoelastic column
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Summary:The mechanical properties of the various materials could be influenced by external forces. The aim of this paper is to study the fractional order of viscoelastic column dynamic in Caputo sense. For this purpose, Laguerre wavelets and their operational matrices of integer and fractional orders are constructed and utilized to reduce the main fractional problem to some algebraic equation. Then, the obtained equation is discretized in the determined collocation nodes. Therefore an algebraic system is achieved that by solving it, the approximated solution of main problem is obtained. For showing the accuracy and efficiency of the purposed method, some illustrative examples are provided and the numerical results are compared with the results of some other approaches. •Defining and constructing Laguerre wavelets and their operational matrices.•Introducing the fractional order of mathematical model of viscoelastic column in the Caputo sense.•Employing Laguerre wavelets for solving fractional order PDE of VEC model.•Error Analysis.
ISSN:0960-0779
DOI:10.1016/j.chaos.2025.116010