On Finite Element Approach For Solving Nonlinear Equations

Often we are interested in finding x such that f(x) = 0, where f : R → R is a general nonlinear real function of one variable. Finding the zeros of a nonlinear equation, is a classical problem which has nice applications in various elds of science and engineering. In this paper, we describe and analyze an ecient method based on partitioning of an interval (that probably contains root(s) of f) into subintervals. From this point of view, we name this method to be a nite element approach for root finding. The convergence of the new algorithm is proved. Finally, numerical examples are presented to illustrate the effectiveness of the new method.