A family of fourth-order q-logarithmic equations

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

Fourth Order Equations In

A new optimal method of fourth-order convergence for solving nonlinear equations

In this paper, we present a fourth order method for computing simple roots of nonlinear equations by using suitable Taylor and weight function approximation. The method is based on Weerakoon-Fernando method [S. Weerakoon, G.I. Fernando, A variant of Newton's method with third-order convergence, Appl. Math. Lett. 17 (2000) 87-93]. The method is optimal, as it needs three evaluations per iterate,...

new family of two-parameters iterative methods for non-linear equations with fourth-order convergence

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A Family of Nonlinear Fourth Order Equations of Gradient Flow Type

Global existence and long-time behavior of solutions to a family of nonlinear fourth order evolution equations on R are studied. These equations constitute gradient flows for the perturbed information functionals Fα,λ(u) = 1 2α Z