Analytical solution of the wave explosion by using the Green's function

Waves propagation is one of the issues which is considered in defense industry, construction and passive defense. Among the various sources of waves, the explosion is an important factor. After explosion, considerable energy is released in a short time. This energy is emitted into the environment as seismic waves and vibrates the particles in the environment and after that, energy absorption in the environment eventually lead to the weakening of wave propagation and finally wave attenuation. Formulation problems in many branches of science, especially science engineering, leads to differential equations; therefore, faster and more accurately solve the equations of the important issues that underlie many forms of research. In this paper, at first, the analytical solution of two-dimensional wave equation with a source of shock and boundary value using the Green's function method is discussed and then the analysis of explosion process is done by using the Finite Difference Time-Domain Method. The analysis conducted in this paper examine the effect of distance and weight of the explosive.