Finite difference solution of a two-dimensional mathematical model of the cochlea

Publisher Website
Google Scholar
Abstract
A current, linear, two‐dimensional mathematical model of the mechanics of the cochlea is solved numerically by using a finite difference approximation of the modelequations. The finite‐difference method is used to discretize Laplace’s equation over a rectangular region with specified boundary conditions. The resulting matrix equation for fluid pressure is solved by using a Gaussian block‐elimination technique. Numerical solutions are obtained for fluid pressure and basilar membrane displacement as a function of distance from the stapes. The finite difference method is a direct, versatile, and reasonably efficient means of solving the two‐dimensional cochlear model.

This publication has 0 references indexed in Scilit: