## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Approximate analytical solution for one dimensional problems of thermoelasticity with dirichlet condition

**ABSTRACT**

This paper presents the solution of the initial boundary-value problem for the system of one-dimensional 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.

**KEYWORDS**

PAPER SUBMITTED: 2016-12-17

PAPER REVISED: 2017-02-17

PAPER ACCEPTED: 2017-02-17

PUBLISHED ONLINE: 2017-03-03

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