论文信息 - Solution of a system of nonlinear equations by Adomian decomposition method - 字舞流文

Solution of a system of nonlinear equations by Adomian decomposition method

In this paper, the Adomian decomposition method is applied to solve a system of nonlinear equations. Convergence of the method is proved and some examples are presented to illustrate the method.

Jafar Biazar | Esmail Babolian | A. R. Vahidi | J. Biazar | E. Babolian | A. Vahidi

[1] George Adomian,et al. Solving Frontier Problems of Physics: The Decomposition Method , 1993 .

[2] L. Gabet,et al. The theoretical foundation of the Adomian method , 1994 .

[3] Jafar Biazar,et al. On the decomposition method for system of linear equations and system of linear Volterra integral equations , 2004, Appl. Math. Comput..

[4] Giuseppe Saccomandi,et al. New results for convergence of Adomian's method applied to integral equations , 1992 .

[5] George Adomian,et al. Nonlinear Stochastic Systems Theory and Applications to Physics , 1988 .

[6] Y. Cherruault,et al. Practical formulae for the calculus of multivariable adomian polynomials , 1995 .

[7] Y. Cherruault,et al. Convergence of Adomian's method applied to nonlinear equations , 1994 .