Simulation of distributed network elements in CAS MAXIMA and server online calculations in the educational process

Abstract

Pressure pipelines are an important part of the water management infrastructure. Water supply networks pump the liquid to the consumer with the help of pumps (or supply it from a water tower) to specified points. The functioning of the entire urban infrastructure depends on the correct calculation and reliable operation of these areas. This paper shows the implementation of a computer calculation of one of the branched network options using numerical methods in the CAS MAXIMA computer algebra system, its graphic subsystem of symbolic mathematics, and the use of the author's online calculation program with a client-server implementation - https://www.k123.org.ua/jgIHjob1.html .
 The implementation of elements of computer calculations in the educational process allows the generation of an unlimited number of individual variants of initial data. The implementation of computer calculation requires the availability of automatic online generation of answers for each stage of iterative calculations. The task of generating online answers is the basis of the program development.
 An educational online platform is offered for researching the optimality of numerical, graphic and audio formats for setting the problem. The formats of the web form for entering output data have been studied. Online calculations reduce the time spent on typical monotonous operations. Additional possibilities of instant online calculations and visual graphic visualization of calculation results expand the possibilities of modeling individual elements of a branched network.
 The online program allows you to use computer calculations, expand the culture of using applied mathematical methods for engineering calculations, introduce algorithms and data structures, and solve the main task of training future engineers - to ensure a modern level of education and readiness to solve new problems.