A collocation scheme based on the use of the multiquadric quasi-interpolation operator \(L_{w_2}\) , integrated radial basis function networks (IRBFNs) method and three order finite difference method is applied to the nonlinear Klein-Gordon equation. In the present scheme, the three order finite difference method is used to discretize the temporal derivative and the integrated form of the multiquadric quasi-interpolation scheme is used to approximate the unknown function and its spatial derivatives. Several numerical experiments are provided to show the efficiency and the accuracy of the given method.

In this manuscript goodness-of-fit test is proposed for the Skew-t distribution based on properties of the family of these distributions and the sample correlation coefficient. The critical values for the test can be achieved by Monte Carlo simulation method for several sample sizes and levels of significance. The power of the proposed test can be specified for different sample sizes and considering diverse alternatives.

Testing becomes an important process in software development not only in terms of exposure but also in terms of performance, usability, safety, security, reusability. Also software testing is an essential activity to software quality assurance. Cloud testing is a method of software testing based on cloud computing that offers testing as a service To test the SaaS, NonSaaS, service application over clouds and clouds. To test the cloud-based software and applications, tools and techniques are needed to address concerns of the cloud infrastructure such as dynamic configuration. This paper provides a comprehensive assessment on cloud testing. It analyzed the questions raised by managers, tester and engineers, and it offers clear concepts, discusses the specific objectives, advantages, features and requirements, in cloud computing testing. Also, it offers a comparative view between cloud-based application testing and conventional software testing as well as the comparison between commercial testing tools and examines the advantages in testing cloud-based software applications.

This paper proposed a new average non-dominated sorting genetic algorithm (NAVNSGA). This idea is inspired from the combination of non-elitist multi-objective evolutionary algorithms, elitist multi-objective evolutionary algorithms, and statistical calculations. The proposed NAVNSGA is improved the disadvantages of the Elitist multi-objective algorithms and Non-elitist multi-objective algorithms as possible. The NAVNSGA is compared with useful algorithms such as the non-elitist sorting genetic algorithm (NSGAI) and non-elitist sorting genetic algorithm (NSGAII) and the results obtained are showed the superiority of the proposed algorithm. Additionally, the NAVNSGA algorithm is combined with the concepts of the Game theory to propose a hybrid algorithm for determining Nash equilibrium in the game theory. The combination of the NAVNSGA algorithm with the game theory previously is used for improving engineering systems, such as I-beam designing. The results obtained are showed the advantage of the proposed algorithm with those reported in the literature.

The object of the present paper is to study the pseudo projective \(\phi\)−recurrent Sasakian manifolds.

Trust is one of the most important means to improve security and enable interoperability of current heterogeneous independent cloud platforms. Trust is a level of subjective probability between two entities, a trustor and a trustee, which is formed through the direct observation nature and/or recommendation from trusted entities. Today, there is no special trust evaluation model for cloud computing environment. Hence, in this paper, we present a trust model based on fuzzy mathematics in cloud computing environment according to success and failure interaction between cloud entities.

In this paper, we give Darboux approximation for dual Smarandache curves of spacelike curve on dual unit hyperbolic sphere \(\tilde{H}^2_0\). Firstly, we define the four types of dual Smarandache curves of a dual hyperbolic curve \(\tilde{\alpha}(s)\). Then, we obtain the relationships between the dual curvatures of dual hyperbolic curve \(\tilde{\alpha}(s)\) and its dual Smarandache curves. Finally, we give an example for Smarandache curves of a spacelike curve on dual unit hyperbolic sphere \(\tilde{H}^2_0\).

In this paper we prove some results on upward subsets of a Banach lattice \(X\) with a strong unit. Also we study the best approximation in \(X\) by elements of upward sets, and we give the necessary and sufficient conditions for any element of best approximation, by a closed subset of \(X\).