Nonlinear Singular One Dimensional Thermo-Elasticity Coupled System and Double Laplace Decomposition Methods

Abstract

In this work, combined double Laplace transform and Adomian
decomposition method is presented to solve nonlinear singular one dimensional
thermo-elasticity coupled system. Also we prove in this work the convergence
of double Laplace transform decomposition method applied to our problem.
By using one example, our proposed method is illustrated and the obtained
results are confirmed.