title: Analytical approximate solutions for a general class of nonlinear delay differential equations.
abstract: 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.
authors.affiliation: Department of Mathematics, "Politehnica" University of Timişoara, Piaţa Victoriei 2, 300006 Timişoara, Romania.
authors.forename: Bogdan
authors.initials: B
authors.lastname: Căruntu
authors.affiliation: Department of Mathematics, "Politehnica" University of Timişoara, Piaţa Victoriei 2, 300006 Timişoara, Romania.
authors.forename: Constantin
authors.identifier: 0000-0003-3907-2717
authors.initials: C
authors.lastname: Bota
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical