Research interest in iterative multipoint schemes to solve nonlinear problems has increased recently because of the drawbacks point-to-point methods, which need high-order derivatives increase order convergence. However, this is not only key element classify schemes. We aim design new fixed point classes without memory, that improve or bring together existing ones different areas such as comput...

In this paper, we present a new fourth-order modification of Newton’s method for multiple roots, which is based on existing second -order. Modification of Newton’s multiple root-finding methods. Some numerical examples illustrate that the new method is more efficient and performs better than other methods for multiple roots.

‎in this paper a new family of fifteenth-order methods with high efficiency index is presented‎. this family include four evaluations of the function and one evaluation of its first derivative per iteration.‎ ‎therefore‎, ‎this family of methods has the efficiency index which equals 1.71877‎. ‎in order to show the applicability and validity of the class‎, ‎some numerical examples are discussed‎.

Root exposure along with inadequate vestibular depth is a common clinical finding. Treatment option includes many techniques to treat such defects for obtaining predictable root coverage. Normally, the vestibular depth is increased first followed by a second surgery for root coverage. The present case report describes a single-stage technique for vestibular extension and root coverage in a sing...

The maxillary first molar usually has single palatal root. Incidence rate of maxillary first molar with two palatal roots is especially rare. We reported a case of young maxillary first molar with two palatal roots in this article. Anatomic characteristic of permanent maxillary molar is generally described as a group of teeth with three roots, one palatal and two buccalbut the root canal system...