Five-point thirty-two optimal order iterative method for solving non-linear equations

New family of Two-Parameters Iterative Methods for Non-Linear Equations with Fourth-Order Convergence

A non-iterative method for solving non-linear equations

In this paper, using a hyperbolic tangent function tanhðbxÞ, b > 0, we develop a non-iterative method to estimate a root of an equation f(x) = 0. The problem of finding root is transformed to evaluating an integral, and thus we need not take account of choosing initial guess. The larger the value of b, the better the approximation to the root. Alternatively we employ the signum function sgnðxÞ ...

Modified homotopy perturbation method for solving non-linear oscillator's ‎equations

In this paper a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the Maclaurin series of the exact solution. Nonlinear vibration problems and differential equation oscillations have crucial importance in all areas of science and engineering. These equations equip a significant mathematical model for dynamical systems. The accuracy o...

Four-Point Optimal Sixteenth-Order Iterative Method for Solving Nonlinear Equations

In this research article, we present sixteenth-order iterative method for solving nonlinear equations. The Iterative method has optimal order of convergence sixteen in the sense of Kung-Traub conjecture [1], It means iterative scheme uses five function evaluations to achieve 16(= 25−1) order of convergence. The proposed iterative method utilize one derivative evaluation and weight functions. Nu...

Iterative methods for solving non linear Fokker-Planck equation