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

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.

Newton’s method, system of nonlinear equations, Chandrasekhar integral equation, convergency