Pakdemirli M.Boyaci H.Yurtsever H.A.2024-07-222024-07-2220081300686Xhttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/19080Perturbation theory is used to generate a root finding algorithm with fifth order derivatives. The algorithm is called Quintuple-Correction-Term algorithm. The new algorithm is contrasted with the previous Quadruple-Correction-Term and Triple-Correction-Term algorithms in the literature. It is found that adding a fifth correction term in the algorithm does not improve the performance. © Association for Scientific Research.EnglishAll Open Access; Gold Open AccessPerturbation techniquesProblem solvingPerturbation theoryRoot finding algorithmsAlgorithmsArticle10.3390/mca13020123