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

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80 Scopus citations

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 model equations. 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.

Original languageEnglish (US)
Pages (from-to)1386-1393
Number of pages8
JournalJournal of the Acoustical Society of America
Volume69
Issue number5
DOIs
StatePublished - May 1981

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

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