Approximate analytical solution for 1-D problems of thermoelasticity with dirichlet condition

This paper presents the solution of the initial boundary-value problem for the system of 1-D thermoelasticity using a new modified decomposition method that takes into accounts both initial and boundary conditions. The obtained solution is based on the generalized form of the inverse operator and is...

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Bibliographic Details
Published in:Thermal science 2019-01, Vol.23 (1), p.255-269
Main Authors: Almazmumy, Mariam, Bakodah, Huda, Al-Zaid, Nawal, Ebaid, Abdelhalim, Rach, Randolph
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary value problems
Dirichlet problem
Exact solutions
Mathematical analysis
Thermoelasticity
Online Access:Get full text
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Summary:This paper presents the solution of the initial boundary-value problem for the system of 1-D thermoelasticity using a new modified decomposition method that takes into accounts both initial and boundary conditions. The obtained solution is based on the generalized form of the inverse operator and is given in the form of a finite series. Also, some numerical experiments were presented to the both the effectiveness and the accuracy of the presented method. nema
ISSN:0354-9836
2334-7163
DOI:10.2298/TSCI161217032A