Using Of The Differental Progonka Method In Solving Engineering Problems In Technical Universities

Abstract

Different types of differential equations of mathematical models are usually used to model engineering problems in technical universities. Mathematical models constructed from modeling engineering problems are often expressed in the form of different types of differential equations. According to the character of the compiled model, the solution of these models is solved by means of solving differential equations. In the process of solving these equations, a series of actions are performed, such as approximate calculations or analytical substitution. As mentioned earlier, this process can be simple or complex depending on the structure and nature of the model. If the process is complex, in this case it is advisable to program and leave it to the computer after selecting the method of solution. It is well known that the solution of many engineering problems leads to the solution of various boundary conditions of a differential equation with variable coefficients. The solution of boundary value problems is much more complicated than the original conditional problem. Because it is much more difficult to build algorithms for solving boundary value problems with a given accuracy. A number of algorithms have been developed to solve the initial conditions with a given accuracy, which are expressed in the form of standard programs. Therefore, this is one of the easiest ways to bring border issues to the starting point. The solution of a boundary value problem using the differential progonka method is used to solve initial conditional problems that are equally strong. Another advantage of this method is that each algorithmic language has its own standard program for solving the Kashi problem with a given accuracy. The algorithm of the differential progonga method is presented in the following example.