Numerical methods for solving one-dimensional cochlear models in the time domain.
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.
Diependaal
R J
RJ
Department of Mathematics and Informatics, Delft University of Technology, The Netherlands.
Duifhuis
H
H
Hoogstraten
H W
HW
Viergever
M A
MA
D003051:Cochlea / Q000502:physiology*; D003198:Computer Simulation; D006309:Hearing; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D013997:Time Factors