Approximating a Nonlinear Advanced-Delayed Equation From Acoustics
In Numerical Computations, Y. D. Sergeyev, D. E. Kvasov, F. D. Accio, and M. S. Mukhametzhanov (edts) , AIP, Melville, NY, 1776(1) (2016), 090049-1-090049-4
We approximate the solution of a particular non-linear mixed type functional differential equation from physiology, the mucosal wave model of the vocal oscillation during phonation. The mathematical equation models a superficial wave propagating through the issues.
The numerical scheme is adapted from the work presented in [1, 2, 3], using homotopy analysis method (HAM) to solve the non linear mixed type equation under study.