Numerical methods for solving one-dimensional cochlear models in the time domain
- 1 November 1987
- journal article
- research article
- Published by Acoustical Society of America (ASA) in The Journal of the Acoustical Society of America
- Vol. 82 (5) , 1655-1666
- https://doi.org/10.1121/1.395157
Abstract
In this article, a robust numerical solution method for one-dimensional (1-D) cochlear models in the time domain is presented. The method has been designed particularly for models with a cochlear partition having nonlinear and active mechanical properties. The model equations are discretized with respect to the spatial variable by means of the principle of Galerkin to yield a system of ordinary differential equations in the time variable. To solve this system, several numerical integration methods concerning stability and computational performance are compared. The selected algorithm is based on a variable step size fourth-order Runge-Kutta scheme; it is shown to be both more stable and much more efficient than previously published numerical solution techniques.This publication has 2 references indexed in Scilit:
- Quantitative validation of cochlear models using the Liouville-Green approximationHearing Research, 1986
- Some observations on cochlear mechanicsThe Journal of the Acoustical Society of America, 1978