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SOLVING NONLINEAR EQUATIONS USING A NEW TENTH-AND SEVENTH-ORDER METHODS FREE FROM SECOND DERIVATIVE

M.A. Hafiz, Salwa M.H. Al-Goria

Abstract


In this paper, we suggest and analyze some new higher-order iterative methods free from second derivative and used for solving of nonlinear equations. These methods based on a Householder iterative method and using predictor--corrector technique. The convergence analysis of our methods are discussed. It is established that the new methods have convergence order ten and seven. Numerical tests show that the new methods are comparable with the well-known existing methods and gives better results.

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