Some algebraic approach for the second Painleve equation using the optimal homotopy asymptotic method (OHAM)
D. Sierra-Porta
Universidad Industrial de Santander, Carrera 27 y Calle 9, 640002 Bucaramanga, Colombia
Keywords: трансцендент Пенлеве, асимптотический метод оптимальной гомотопии, аппроксимационное решение, Painleve transcendent, optimal homotopy asymptotic methods, approximate solutions
Abstract
The study of Painleve's equations has increased during the last years, due to the awareness that these equations and their solutions can accomplish good results both in the field of pure mathematics and theoretical physics. In this paper we introduced an optimal homotopy asymptotic method (OHAM) approach to propose analytic approximate solutions to the second Painlevè equation. The advantage of this method is that it provides a simple algebraic expression that can be used for further developments while maintaining good performance and fitting closely the numerical solution.
|
