A function is said to be bi-univalent on the open unit disk D if both the function and its inverse are univalent in D. Not much is known about the behavior of the classes of bi-univalent functions let alone about their coefficients. In this paper we use the Faber polynomial expansions to find coefficient estimates for four well-known classes of bi-univalent functions which are defined by subord...

a class of new methods based on a septic non-polynomial spline function for the numerical solution of problems in calculus of variations is presented. the local truncation errors and the methods of order 2th, 4th, 6th, 8th, 10th, and 12th, are obtained. the inverse of some band matrixes are obtained which are required in proving the convergence analysis of the presented method. convergence anal...

In this paper, solutions of one-phase inverse Stefan problems are studied. The approach presented in the paper is an application heat polynomials method (HPM) for solving one- and two-dimensional problems, where boundary data reconstructed on a fixed boundary. We present numerical results illustrating several benchmark examples. study effects accuracy measurement error different degree polynomi...

We present algorithms for kinematic manipulation of molecular chains subject to fixed bond lengths and bond angles. They are useful for calculating conformations of a molecule subject to geometric constraints, such as those derived from two-dimensional NMR experiments. Other applications include searching out the full range of conformations available to a molecule such as cyclic configurations....

Abstract. This paper introduces a master-slave control method of teleoperating a redundant manipulator with double handles. The master handles send motion commands in the form of increments. The mapping module transforms the commands into homogeneous matrices. And the slave manipulator links discrete motion commands in the mode of PVAT automatically, by inverse kinematics and fifth-order polyno...

In this paper, getting an high-efficiency parallel algorithm to solve sparse block pentadiagonal linear systems suitable for vectors and parallel processors, stair matrices are used to construct some parallel polynomial approximate inverse preconditioners. These preconditioners are appropriate when the desired target is to maximize parallelism. Moreover, some theoretical results about these pre...

The Lucas function is a recently proposed one-way function used in public key cryptography. The security of cryptosystems based on the Lucas function relies on the difficulty of solving the Lucas logarithm problem. In this paper, the Lucas logarithm problem is studied using interpolation techniques. In particular, the inverse Aitken and the inverse Neville interpolation methods are applied to v...