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

Research output: Contribution to journalArticle

77 Citations (Scopus)

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

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cochlea
fluid pressure
two dimensional models
mathematical models
Laplace equation
elimination
boundary conditions
membranes
approximation
Mathematical Model
Equations
Cochlea

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

Finite difference solution of a two-dimensional mathematical model of the cochlea. / Neely, Stephen T.

In: Journal of the Acoustical Society of America, Vol. 69, No. 5, 05.1981, p. 1386-1393.

Research output: Contribution to journalArticle

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