IJPAM: Volume 57, No. 4 (2009)

A TWO-STEP HIGH ORDER NEWTON-LIKE METHOD
FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS

M.T. Darvishi
Department of Mathematics
Faculty of Science
Razi University
Kermanshah, 67149, IRAN
e-mail: darvishimt@yahoo.com


Abstract.In this work in order to solve systems of nonlinear equations, a two-step high order Newton-like method free from second derivative is presented. We prove that the method is convergent. The computational aspect of the method is studied using some numerical experiments including an application to solve a boundary value problem and to the Chandrasekhar integral equation in radiative transfer. Residual falls of logarithm of errors show cubic convergence of the method.

Received: November 20, 2009

AMS Subject Classification: 65H10, 65B99

Key Words and Phrases: Newton's method, system of nonlinear equations, Chandrasekhar integral equation, convergency

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 4