Bulletin of Computational Applied Mathematics (Bull CompAMa)
Resolution of nonlinear and non-autonomous ODEs by the ADM using a new practical Adomian polynomials
Idriss Noureddine Zaouagui, Toufik Badredine
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.