Resolution of nonlinear and non-autonomous ODEs by the ADM using a new practical Adomian polynomials

Abstract

In this paper, a new practical formulas of Adomian polynomials has been adapted to resolve nonlinear and non-autonomous ordinary differential equations by the Adomian decomposition method, a simple computational for this new polynomials has been suggested, Therefore new conditions of convergence have been generalized.

Keywords

• decomposition method
• adomian polynomials
• nonlinear and non-autonomous odes
• cauchy's problems
• initial value problems