One-Dimensional Forced Standing Waves, II

Abstract

To augment the scope of the previous investigation, the author suggested analyzing the impact of extended initial conditions on the solution of the nonhomogeneous, coordinate-dependent wave equation. This article reports on the results of the investigation. In general, the Fourier basis is well-suited for solving the wave equation. Three Cases of generalized initial conditions are considered. The same bases are coherently blended in the initial conditions. The impact of the individual initial condition is analyzed. The core of the investigation hinges on the use of the Computer Algebra System (CAS), specifically Mathematica . Aside from the symbolic formulation, most of the Mathematica code is embedded in the report for reproduction purposes, complemented by an atlas of extensive graphs.