Improved computer solution of the wave equation

The efficiency of a novel numerical technique in the solution of acoustic wave problems in layered structures is here measured through extensive computer experimentation. The experimentation includes the comparison of the presently advanced technique to some classic ones usually applied in the presence of arbitrary profiles. The results corroborate the calculated reduction in solution time roughly proportional to the matrix size N when compared to the Gauss elimination technique, and twice the iteration number when compared to the Gauss Seidel technique. In addition, the numerical accuracy has been improved approximately by a factor of two while the storage requirement has been decreased roughly by a half. In many at-sea explorations or missions, real time acoustic predictions are essential for in-situ decision-making. The efficiency of the present algorithm should prove particularly desirable for fast and accurate computations of the acoustic wave field.