This paper is devoted to the development and investigation of methods of mathematical and computer simulation of the process of fluid filtration in a porous medium. The methods of numerical solution of the problems of the filtration theory of build-up of conditions in the catchment and discharge areas boundaries, identification of filtration-capacitive parameters of the effective formation and determination of free (unknown) boundaries and creation of computational algorithms for analysis and forecast of technological indicators of oil and gas fields are considered. Methods and models of continuum mechanics, filtration theories, and methods for solving ill-defined problems, numerical modeling and computer programming were used. ApproxiNumericalmate methods for solving direct and inverse problems of filtration theory, mathematical models for single-phase isothermal filtration of a gas mixture in a horizontal formation at small concentration gradients of components, studying the properties of self-similar solutions, as well as numerical solving the problem of identifying the capacitive parameters of the water-bearing stratum.
En pedagogía, inevitablemente surgen preguntas: “¿Qué enseñar?”, “¿Por qué enseñar?”, “¿Cómo enseñar?”, pero al mismo tiempo, aparece otra: “¿Cómo enseñar efectivamente?”. La capacitación se convierte en una apariencia de cierto proceso tecnológico con objetivos predeterminados y un resultado garantizado. Naturalmente, la educación no puede compararse completamente con la producción; sin embargo, el concepto de tecnologías pedagógicas apareció en la Pedagogía. A.S. Makarenko llamó al proceso pedagógico una “producción pedagógica” especialmente organizada, y planteó los problemas de desarrollar una “técnica pedagógica”.
The article examines the current trends of mobile learning in modern education. Some of the aspects of implementation such mobile approach are mentioned below. It is noted that despite the widespread availability of different types of mobile phones among students, mobile learning poorly distributed in high schools of Kazakhstan. The technical and psychological readiness of students to use mobile technology in the learning process is analyzed. Also, the experience of the first world mobile learning technology is examined. Based on that findings some of the advantages and the most suitable mobile devices are outlined. These devices. which originally were developed for entertainment might play a crucial role in increasing the efficiency of Kazakhstan's education sector. It concludes that most of today’s students are ready both technically and psychologically to use mobile technology in education, and it is highly important to consider any new opportunities for more effective use of mobile learning.
The essential criteria was discovered in the thesis to define free boundary over the nonlinear partial differential equations. The task is to find coordinates of each point of the border so that to minimize functional. Such task can be treated as an optimum control problem. It is a problem with restriction. In accordance with a method of the interfaced functions we will pass to a problem of optimization without restrictions, having entered new functional. The purpose of the given work is calculation of the first variation of functional. It also defines a necessary condition of optimality for definition of position of border of an oil layer. The considered method for determining free boundaries is based on solving problems of determining the boundary of a system that describes a nonlinear partial differential equation.
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