MATHEMATICAL AND NUMERICAL MODELING OF THE COUPLED DYNAMIC THERMOELASTIC PROBLEMS FOR ISOTROPIC BODIESA.A. QALANDAROV, A.A. KHALDJIGITOV (pp. 119-126)
Abstract.A statement of the two-dimensional coupled thermodynamic boundary problem for isotropic bodies is presented in this paper. Corresponding explicit and implicit finite difference schemes are developed. Obtained schemes are solved by means of elimination method and recurrence formulas, respectively. A comparative solution clearly displays a good coincidence.
Keywords: thermo-elasticity, coupled problem, thermal conductivity, difference equations, explicit scheme, implicit scheme, grid method, elimination method.