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Approximating a Retarded-Advanced Differential Equation that Models Human Phonation

Teodoro, Filomena

A publicar em Numerical Analysis and Applied Mathematics, AIP, New York

In [1, 2, 3] we have got the numerical solution of a linear mixed type functional di erential equation (MTFDE) introduced initially in [4], considering the autonomous and non-autonomous case by collocation, least squares and finite element methods considering B-splines basis set. The present work introduces a numerical scheme using least squares method (LSM) and Gaussian basis functions to solve numerically a nonlinear mixed type equation with symmetric delay and advance which models human phonation. The preliminary results are promising. We obtain an accuracy comparable with the previous results.