An improved regula falsi (IRF) method based on classic regula falsi

(RF) method is proposed in this paper. The method is verified on a

number of test examples and numerical results confirm that the ...

Solving systems of nonlinear equations is perhaps one of the most difficult problems in all numerical computation. Although numerous methods have been developed to attack this class of numerical problems, one of the simplest and oldest methods...

In this paper we use measure theory in the discrete case to solve a wide range of the

nonlinear equations systems. First, by defining an error function, we transform the

problem to an optimal control problem in discrete case. The new...

Abstract. In this paper we use iterative dynamic programming in the discrete

case to solve a wide range of the nonlinear equations systems. First,

by defining an error function, we transform the problem to an optimal control...

In this paper, we propose and analyze some new predictor-corrector methods for

solving nonlinear equations using the weight combination of mid-point, Trapezoidal and Simpson

quadrature formulas. We prove that these new methods...