title: Application of the perturbation iteration method to boundary layer type problems.
abstract: The recently developed perturbation iteration method is applied to boundary layer type singular problems for the first time. As a preliminary work on the topic, the simplest algorithm of PIA(1,1) is employed in the calculations. Linear and nonlinear problems are solved to outline the basic ideas of the new solution technique. The inner and outer solutions are determined with the iteration algorithm and matched to construct a composite expansion valid within all parts of the domain. The solutions are contrasted with the available exact or numerical solutions. It is shown that the perturbation-iteration algorithm can be effectively used for solving boundary layer type problems.
authors.affiliation: Applied Mathematics and Computation Center, Celal Bayar University, 45140 Muradiye, Manisa, Turkey.
authors.forename: Mehmet
authors.identifier: 0000-0003-1221-9387
authors.initials: M
authors.lastname: Pakdemirli
keywords: Boundary layer problems; Ordinary differential equations; Perturbation methods; Perturbation–iteration algorithm; Singular perturbation problems