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Variational iteration method for one-dimensional nonlinear thermoelasticity. (English) Zbl 1131.74018
Summary: This paper applies the variational iteration method to solve Cauchy problem arising in one-dimensional nonlinear thermoelasticity. The advantage of this method is to overcome the difficulty of calculation of Adomian’s polynomials in Adomian’s decomposition method. The numerical results of this method are compared with the exact solution of an artificial model to show the efficiency of the method. The approximate solutions show that the variational iteration method is a powerful mathematical tool for solving nonlinear problems.
MSC:
74H15Numerical approximation of solutions for dynamical problems in solid mechanics
74F05Thermal effects in solid mechanics
74S30Other numerical methods in solid mechanics