论文信息 - Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method

Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method

In this paper, we present some efficient numerical algorithms for solving nonlinear equations based on Newton-Raphson method. The modified Adomian decomposition method is applied to construct the numerical algorithms. Some numerical illustrations are given to show the efficiency of algorithms.

Saeid Abbasbandy | S. Abbasbandy

[1] Jianhong Wu,et al. Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholson's blowflies equation , 2000, Appl. Math. Comput..

[2] Abdul-Majid Wazwaz,et al. A new algorithm for calculating adomian polynomials for nonlinear operators , 2000, Appl. Math. Comput..

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

[4] Jafar Biazar,et al. Solution of nonlinear equations by modified adomian decomposition method , 2002, Appl. Math. Comput..

[5] A. Householder. The numerical treatment of a single nonlinear equation , 1970 .

[6] George Adomian,et al. On the solution of algebraic equations by the decomposition method , 1985 .

[7] L. Kantorovich,et al. Functional analysis in normed spaces , 1952 .

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