On an evolution-mixed thermoelastic system problem

Abstract

This paper deals with the study of an initial boundary value problem for a thermoelastic system. We first give some existence and uniqueness results of the solution and then numerical solutions for the system are derived by using finite-difference methods. Iterative schemes with second-order accuracy are derived. An illustrative numerical example with a graphical representation illustrates the efficiency of the derived numerical schemes.

Keywords:

• thermoelastic system
• truncation error
• finite-difference
• Bessel operator
• numerical solution
• existence and uniqueness

2010 AMS Subject Classifications::

• 35K51
• 35L20
• 65N06

Acknowledgements

The authors would like to extend their sincere appreciation to the Deanship of Scientific Research at King Saud University for its funding of this research through the Research Group Project number RGP-VPP-117.