Reduced Differental Transform Method (RDTM), which is one of the useful and effective numerical method, is applied to solve nonlinear time-dependent Foam Drainage Equation (FDE) with different initial conditions. We compare our method with the famous Adomian Decomposition and Laplace Decomposition Methods. The obtained results demonstrated that RDTM is a powerful tool for solving nonlinear part...

Path-velocity decomposition is an intuitive yet powerful approach to address the complexity of kinodynamic motion planning. The difficult trajectory planning problem is solved in two separate and simpler steps : first, find a path in the configuration space that satisfies the geometric constraints (path planning), and second, find a time-parameterization of that path satisfying the kinodynamic ...

We argue that formal modeling should be the starting point for any serious development of computer systems. This claim poses a challenge for modeling: at first it must cope with the constraints and scale of serious developments. Only then it is a suitable starting point. We present three techniques, refinement, decomposition, and instantiation, that we consider indispensable for modeling large ...

‎Selecting the most suitable robot among their wide range of specifications and capabilities is an important issue to perform the hazardous and repetitive jobs‎. ‎Companies should take into consideration powerful group decision-making (GDM) methods to evaluate the candidates or potential robots versus the selected attributes (criteria)‎. ‎In this study‎, ‎a new GDM method is proposed by utilizi...

In this paper, we present a novel multi-modal histogram thresholding method in which no a priori knowledge about the number of clusters to be extracted is needed. The proposed method combines regularization and statistical approaches. By converting the approaching histogram thresholding problem to the mixture Gaussian density modeling problem, threshold values can be estimated precisely accordi...

A demographic measure is often expressed as a deterministic or stochastic function of multiple variables (covariates), and a general problem (the decomposition problem) is to assess contributions of individual covariates to a difference in the demographic measure (dependent variable) between two populations. We propose a method of decomposition analysis based on an assumption that covariates ch...

A new chromium(III) complex containing 4ʹ-hydroxy-2,2ʹ:6ʹ,2ʺ-terpyridine (tpyOH) has been prepared by the reaction of CrCl3. 6H2O with tpyOH in the presence of metallic zinc to afford the new complex [CrCl3(tpyOH)] (1). The complex 1 was used as a suitable precursor for the preparation of Cr2O3 nanoparticles by the simple calcination method at three different annealed temperatures of 400, 600, ...