Application of numerical analysis for solving nonlinear equation

Abstract EN

For the last years, the various of Newton's formula have become common iterative numericaltechniques to realize approximate solutions to the zeros of nonlinear equations of PV cell(single diode) model foe electronic applications.

These techniques do not necessitate thecomputation of second derivative of the functions but it need only first derivative of it'sfunctions.

In this paper, we introduce a new proposed method Dekker's Formula with fiveevaluations per iterations based on Accelerated Predictor-Corrector Halley's method.

Numerical experiments produce that the new algorithm can determine with the standardNewton's For the last years, the various of Newton's formula have become common iterative numericaltechniques to realize approximate solutions to the zeros of nonlinear equations of PV cell(single diode) model foe electronic applications.

These techniques do not necessitate thecomputation of second derivative of the functions but it need only first derivative of it'sfunctions.

In this paper, we introduce a new proposed method Dekker's Formula with fiveevaluations per iterations based on Accelerated Predictor-Corrector Halley's method.

Numerical experiments produce that the new algorithm can determine with the standardNewton's algorithm.