In this paper, a new optimally convergent eighth-order class of three-step without memory methods is suggested. We here pursue derivative-free algorithms, i.e., algorithms requiring only the ability to evaluate the (objective) function. Since the types of problems that these algorithms can solve are extremely diverse in nature. The analysis of convergence shows that each derivative-free method ...

‎In this paper‎, ‎we present a new modification of Chebyshev-Halley‎ ‎method‎, ‎free from second derivatives‎, ‎to solve nonlinear equations‎. ‎The convergence analysis shows that our modification is third-order‎ ‎convergent‎. ‎Every iteration of this method requires one function and‎ ‎two first derivative evaluations‎. ‎So‎, ‎its efficiency index is‎ ‎$3^{1/3}=1.442$ that is better than that o...

We study a family of two-dimensional Riemann problems for compressible flow modeled by the nonlinear wave system. The initial constant states are separated by two jump discontinuities, x = ±κay, which develop into two interacting shock waves. We consider shock angles in a range where regular reflection is not possible. The solution is symmetric about the y-axis and on each side of the y-axis co...

Mutations in the kinase domain of epidermal growth factor receptor (EGFR) have high levels of basal receptor phosphorylation and are associated with clinical responsiveness to Iressa in patients with nonsmall cell lung cancer (NSCLC). This study aimed to assess the feasibility of morpholino-[(124)I]IPQA derivative as an in vivo PET imaging tool for the expression of different EGFR mutants in NS...