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

Abstract

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.