Pakdemirli M.Boyaci H.Yurtsever H.A.2025-04-102025-04-102008http://hdl.handle.net/20.500.14701/51905Perturbation 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.Article10.3390/mca13020123