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Convergence of Adomian's method applied to nonlinear equations

- K. Abbaoui, Y. Cherruault
- Mathematics
- 1 November 1994

In this paper, we give a proof of Adomian's method using only some properties of the nonlinear function, and we apply these results to some concrete problems.

Convergence of Adomian's method

- Y. Cherruault
- Mathematics
- 31 December 1990

We propose general conditions and a new formulation for proving the convergence of Adomian's method for the numerical resolution of nonlinear functional equations depending on one or several… Expand

Decomposition methods: A new proof of convergence

- Y. Cherruault, G. Adomian
- Mathematics
- 1 December 1993

We propose a new convergence proof of Adomian's technique based on properties of convergent series. Then we deduce some results about the speed of convergence of this method allowing us to solve… Expand

Convergence of Adomian's method applied to differential equations

- K. Abbaoui, Y. Cherruault
- Mathematics
- 1 September 1994

This paper deals with a new proof of convergence of Adomian's method applied to differential equations. We also give new formulae and properties, and we suggest a simple computational form for… Expand

Characterization and generation of α-dense curves

- G. Mora, Y. Cherruault
- Mathematics
- 1 May 1997

Abstract If a curve ranges through a cube H = Π n i =1 [ a i , b i ] so that, for every point x ∈ H , there is at least a point in the curve at a distance not greater than a positive number α, the… Expand

INTRODUCTION TO OPTIMAL CONTROL THEORY

- Y. Cherruault, J. Gallego
- Mathematics
- 1 March 1985

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Convergence of Adomian's Method

- Y. Cherruault
- Mathematics
- 1 February 1989

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… Expand

New results for convergence of Adomian's method applied to integral equations

- Y. Cherruault, G. Saccomandi, B. Somé
- Mathematics
- 1 February 1992

This paper deals with a new proof of convergence of Adomian's method. Series substition properties are used. We give numerical applications to nonlinear integral equations.

New numerical study of Adomian method applied to a diffusion model

- N. Ngarhasta, B. Somé, K. Abbaoui, Y. Cherruault
- Mathematics
- 1 February 2002

We prove in this paper the convergence of Adomian method applied to linear or non‐linear diffusion equations. The results show that the convergence of this method is not influenced by the choice of… Expand

Further remarks on convergence of decomposition method.

- Y. Cherruault, G. Adomian, K. Abbaoui, R. Rach
- Mathematics, Medicine
- International journal of bio-medical computing
- 1995

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