Abstract
In this chapter we simulate one-dimensional waves and analyze the numerical stability of simple integration algorithms. First we formulate the discretized wave equation as an eigenvalue problem and simulate waves on a finite string. We derive simple algorithms for direct integration of the discretized wave equation and discuss their stability properties. In a further computer experiment we study reflection at a closed or open boundary or at the border between two media with different refractive indices. We observe the effect of dispersion for pulses with different shape and duration.
Keywords
Wave Equation Dispersion Relation Mass Point Computer Experiment Sine Function
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References
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