According to results of the numerical experiments, the new iterative method (6) can achieve super third-order convergence for some systems of nonlinear equations. Example 2. We have numerical results ...

In this paper we propose a new third-order method for solving nonlinear equations. Considering a fix length of the floating point arithmetic with multi-precision, we have compared this iterative ...

The paper deals with a numerical method for solving nonlinear integro-parabolic problems of Fredholm type. A monotone iterative method, based on the method of upper and lower solutions, is constructed ...

This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational matrix of ...

Discover a new ODE numerical integration method for solving nonlinear equations. Our efficient approach is perfect for large scale systems, easily solving equations with dimensions up to N=100.

SIAM Journal on Numerical Analysis, Vol. 21, No. 5 (Oct., 1984), pp. 815-843 (29 pages) A new class of methods for solving systems of nonlinear equations, called tensor methods, is introduced. Tensor ...