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A Comparative Evaluation between Numerical Techniques for Implementing the Acoustic Diffusion Equation Model

The acoustic diffusion equation model is an energy-based model that is being successfully applied in room acoustics for predicting the late part of the decay, in the past few years. Early researches usually used a finite element method to solve the diffusion equation model. Recently, an alternative implementation using finite difference methods has been proposed. A comparison between both numerical techniques could be helpful to clarify the pros and cons of each method. In this paper, this evaluation is made by several simulations in different scenarios. Both prediction accuracy and computational performance are compared using different absorption distributions. It is suggested that the finite difference implementation is less computational intensive than the finite element method. Moreover, the obtained values in the simulations are accurate, at least as well as other geometrical model.

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