Numerical modeling of generalized nonlinear system arising in thermoelasticity

In this paper, the Adomian decomposition method (ADM) is presented for finding numerical solution of fractional nonlinear system arising in thermoelasticity. The derivatives are understood in the Caputo sense. The reason of using fractional order differential equations (FOD) is that FOD are naturally related to systems with memory which exists in most biological systems. Also they are closely related to fractals which are abundant in biological systems. The given solutions comparer with the traveling wave solutions. The method provides the solutions in the form of a power series with easily computed terms. It has many advantages over the classical techniques mainly; it provides an efficient numerical solution with high accuracy, minimal calculations. Mathematics Subject Classification: 35Qxx