This article is cited in 1 paper

Mathematics

Iterative method for approximate construction of slow integral manifolds

E. A. Tropkina

Dept. of Differential Equations and Control Theory, Samara State University, Samara, 443011, Russia

Abstract: The paper is devoted to the application of integral manifolds method for the investigation of singularly perturbed ordinary differential systems. When the method of integral manifolds is used to solve a specific problem, a central question is the calculation of the function in terms of the manifold described. The iterative method of construction of integral manifolds is proposed and the comparison of this method with others is also made.

Keywords: integral manifolds, singular perturbations, iterative method, asymptotic expansion.

UDC: 517.928

Received: 03.02.2010
Revised: 03.02.2010