论文信息 - A new formula of solving nonlinear equations by Adomian and homotopy methods

A new formula of solving nonlinear equations by Adomian and homotopy methods

A new formula combining Adomian and homotopy methods is presented. The traditional Newton-Raphson method is modified to a higher order form by Adomian and homotopy methods and the rule for the choice of the auxiliary homotopy function in the new formula is also provided.

Tzong-Mou Wu | T. Wu

[1] A. Morgan. Solving Polynomial Systems Using Continuation for Engineering and Scientific Problems , 1987 .

[2] Eugene L. Allgower,et al. Numerical continuation methods - an introduction , 1990, Springer series in computational mathematics.

[3] Saeid Abbasbandy,et al. Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method , 2003, Appl. Math. Comput..

[4] R. Kellogg,et al. Pathways to solutions, fixed points, and equilibria , 1983 .

[5] Alexander P. Morgan,et al. A Method for Computing All Solutions to Systems of Polynomials Equations , 1983, TOMS.

[6] Tzong-Mou Wu,et al. A study of convergence on the Newton-homotopy continuation method , 2005, Appl. Math. Comput..