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We develop a two stage numerical method for computing approximate solutions of a system of third-order boundary value problems associated with odd order obstacle problems. Such a problem arise in physical oceanography and can be studied in the framework of variational inequality theory. We show that the present method is of order two and gives numerical(More)
In this paper, we suggest and analyze some new higher-order iterative methods free from second derivative for solving nonlinear equations. Per iteration, these new methods require three evaluations of the function and two of its first-derivative with efficiency index = Convergence of their methods is also considered. Several numerical examples are given to(More)
n this paper, we introduce and consider a new class of equilibrium problems and variational inequalities which is called the nonconvex equilibrium variational inequality. We suggest and analyze some iterative methods for solving the nonconvex equilibrium variational inequalities using the auxiliary principle technique. We prove that the convergence of(More)
Copyright q 2010 Muhammad Aslam Noor et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We suggest and analyze some new iterative methods for solving the nonlinear equations f x 0 using(More)