Modified Steffensen type method for solving nonlinear equations
Iterative methods for approximation of roots of non-linear equations often breakdown when the derivative of the function value is zero or near zero at the point of iteration. This paper seeks to introduce method that overcomes such breakdown. The method proposed herein is a combination of forward difference formula with Simpson’s quadrature in spirit of Steffensen. The convergence analysis of the proposed method is shown to be of order p=2. Numerical experiments are performed and results obtained show the comparative advantage the proposed method has over well-known methods such as variants of Newton’s Method.
Keywords: Forward difference formula, Singularity, Zeros, Variants.
*Correspondence: kingsley.muka@uniben.edu, 08060482578
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