Approximating a Retarded-Advanced Differential Equation that Models Human Phonation

COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING, AIP, New York, 1906 (2017), 110007


In [1, 2, 3] we have got the numerical solution of a linear mixed type functional dierential 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.