درخت حوزه‌های تخصصی

In recent decades, mentoring has been hailed as an important human resource management strategy, a career tool, and a learning activity in the workplace, and has played an important role in enhancing the positive outcomes of a high-performance work system. Therefore, the purpose of this study is to provide a model of mentoring system in the Ministry of Interior based on a mixed approach. First, based on the data theory of the foundation, 12 experts were interviewed. Sampling was done purposefully with a network of experts and continued until the theoretical saturation was reached. According to the research model, causal, pivotal, contextual, interventionist, strategic and consequences variables were identified. The results showed that mentoring will have consequences such as increasing knowledge sharing, organizational performance excellence, productivity, job satisfaction, psychological well-being, client satisfaction, increasing public trust in the organization, increasing trust in government and improving political understanding. For quantitative validation of the model and study of component relationships, the structural equation modeling approach was used using the partial least squares method using smart-PLS software. The statistical sample of this department was 237 managers and experts of the Ministry of Interior. The results of the quantitative step showed that the relationships in the model with appropriate impact coefficients were confirmed.

In this article, at first standard linear Black-Scholes model and then some nonlinear Black-Scholes models will be considered and thereupon alternating direction explicit (ADE) method is applied firstly for solving the standard Black-Scholes model and then for Barles and Soner model which is one of the most complete and comprehensive nonlinear Black-Scholes models. Furthermore, the stability of this method has been considered and its accuracy will be compared with other numerical methods such as finite difference methods. Since in solving nonlinear Black-Scholes models by the ADE methods, we need to solve only some scalar nonlinear equations instead of a full nonlinear system of equations that we should solve in implicit methods, so this method can be a suitable choice for solving such models.

In this paper, we present an efficient and accurate method for calculating the Black-Scholes differential equations and solve the Black-Scholes equations using Jacoby and Airfoil orthogonal bases, with the collocation method. The Black-Scholes equation is a partial differential equation, which describes the price of choice in terms of time and the collocation method is a method of deter-mining coefficients. Then we show the computational results and examine the performance of the method for the two options, the price of basic assets and its issues. These results show that the Jacoby method is more efficient in solving the Black Scholes equation, and the method error is less and the convergence rate is higher. In this paper, by applying numerical methods to the desired equation, nonlinear devices can be solved by nonlinear solution methods, such as Newton's iterative method. The existence, uniqueness of the solution, and convergence of the methods are examined, and we will show in an example that by repeating then |u n+1-u n |/|u n | <ε can be reached and this indicates the accuracy of the response to these methods.