We describe an effective technique for computing the steady‐state motion in a two‐dimensional cochlear model. With the cochlear fluid assumed incompressible and inviscid, the problem reduces to solving Laplace’s equation for a region with a yielding boundary (corresponding to the basilar membrane). From an integral equation representation of this solution, a pair of second‐order differential equations is derived. The solution of these differential equations gives the velocity of the basilar membrane and hence other related quantities, e.g., displacement, pressure, driving‐point impedance at the stapes. Higher‐order approximations, as well as extensions to nonlinear membranes are discussed.

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