Title :
A New N-C Method to Solve a Non Linear Differential System
Author_Institution :
Univ. of Technol. of Belfort, Montbeliard
Abstract :
In this article, our objective is the analysis of the resolution of non-linear differential systems by combining Newton and Continuation (N-C) method. The iterative numerical methods converge where the initial condition is chosen close to the exact solution. The question of choosing the initial condition is answered by N-C method
Keywords :
Newton method; convergence of numerical methods; finite difference methods; nonlinear differential equations; Newton-Continuation method; finite difference method; iterative numerical methods; nonlinear differential system; nonlinear partial differential equation; numerical analysis; Finite difference methods; Hydrogen; Iterative methods; Maxwell equations; Navier-Stokes equations; Newton method; Nonlinear equations; Numerical analysis; Partial differential equations; Poisson equations; Continuation method; Newton method; finite difference method; non-linear Partial Differential Equation; numerical analysis;
Conference_Titel :
Computer as a Tool, 2005. EUROCON 2005.The International Conference on
Conference_Location :
Belgrade
Print_ISBN :
1-4244-0049-X
DOI :
10.1109/EURCON.2005.1630002
