abstract 50

Bulletin of Computational Applied Mathematics (Bull CompAMa)

50

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.

Cite this paper:

Zaouagui I.N., Badredine T., Resolution of nonlinear and non-autonomous ODEs by the ADM using a new practical Adomian polynomials,

Bull. Comput. Appl. Math. (Bull CompAMa),

Vol. 7, pp.83-106, 2019.