Stability analysis for numerical methods applied to an inner ear model

Kimberley Lindenberg, Kees Vuik, Pieter van Hengel

Research output: Contribution to journalArticleScientificpeer-review


Diependaal, Duifhuis, Hoogstraten andViergever investigated three time-integration methods to solve a simplified one-dimensional model of the human cochlea. Two of these time-integration methods are dealt with in this paper, namely fourthorder Runge–Kutta and modified Sielecki. The stability of these two methods is examined, both theoretically and experimentally. This leads to the conclusion that in the case of the fourth-order Runge–Kutta method, a bigger time step can be used in comparison to the modified Sielecki method. This corresponds with the conclusion drawn in the article by Diependaal, Duifhuis, Hoogstraten and Viergever.
Original languageEnglish
Pages (from-to)181-196
Number of pages16
Issue number2
Publication statusPublished - 10 Nov 2016


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