Multi-product expansion for Nonlinear Differential Equations

2011/10/25 by Jürgen Geiser, Geiser, Juergen
Mathematics · Engineering · #Numerical methods for differential equations #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics

paper · pdf · doi:10.48550/arxiv.1110.5449

Abstract

In this paper we discuss the extention of MPE methods to nonlinear differential equations. We concentrate on nonlinear systems of differential equations and generalize the recent MPE method, see the work of Chin and Geiser 2010.

Related

• Modified (G'/G)-expansion method for solving nonlinear partial differential equations
• Function expansion methods for solving autonomous nonlinear partial differential equations
• New developments of the methodology of the Modified method of simplest equation with application
• A variant of the Dressing Method applied to nonintegrable multidimensional nonlinear Partial Differential Equations
• A note on an expansion formula with application to nonlinear DAE's