摘要：In this article, we study an initial boundary value problem for a coupled system of thermoelasticity. Some existence and uniqueness results are given. The homotopy analysis method is employed to obtain numerical schemes for solving the posed problem. The efficiency of the derived methods is illustrated through several examples with graphical representations.
关键词：Numerical solution; existence and uniqueness; iterative process; rate of convergence; thermoelastic system; homotopy analysis method
