Analytical Approximate Solutions for a General Class of Nonlinear Delay Differential Equations

Abstract EN

We use the polynomial least squares method (PLSM), which allows us to compute analytical approximate polynomial solutions for a very general class of strongly nonlinear delay differential equations.

The method is tested by computing approximate solutions for several applications including the pantograph equations and a nonlinear time-delay model from biology.

The accuracy of the method is illustrated by a comparison with approximate solutions previously computed using other methods.