Hybrid Algorithms for Numerical Solution of Optoelectronics Applications

Abstract

In the present work, we approach and introduce some new iterative techniques free fromsecond derivative of the given function. Per iteration, these new techniques run out five orfour computations of the required function with it's first derivative. Absolute error of thesetechniques is also considered. Many examples numerically are chosen to indicate the accuracyand performance of these new techniques. These new techniques may be seen as analternative to the popular methods.