Convergence of Adomian's Method

Abstract

Adomian has developed a numerical technique using special kinds of polynomials for solving non‐linear functional equations. General conditions and a new formulation are proposed for proving the convergence of Adomian's method for the numerical resolution of non‐linear functional equations depending on one or several variables. The methods proposed are applicable to a very wide class of problems.

Citation

Cherruault, Y. (1989), "Convergence of Adomian's Method", Kybernetes, Vol. 18 No. 2, pp. 31-38. https://doi.org/10.1108/eb005812