H. BOYACIH. A. YURTSEVERM. PAKDEMİRLİ2025-04-142025-04-142008http://hdl.handle.net/20.500.14701/55822Perturbation 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.İngilizceMatematikA root-finding algorithm with fifth order derivatives