The use of mathematical modeling in engineering allows for a significant reduction of material costs associated with design, production, and operation of technical objects, but it is important for an engineer to use the available computational approaches in modeling correctly. Taking into account the level of modern computer technology, this new volume explains how an engineer should properly define the physical and mathematical problem statement, choose the computational approach, and solve the problem by proven reliable computational approach using computer and software applications during the solution of a particular problem.
This work is the result of years of the authors’ research and experience in the fields of power and rocket engineering where they put into practice the methods of mathematical modeling shown in this valuable volume. The examples in the book are based on two approaches. The first approach involves the use of the relatively simple mathematical system MathCad. The second one involves the solving of problems using Intel Visual Fortran compiler with IMSL Libraries. The use of other software packages (Maple, MathLab, Mathematica) or compilers (С, С++, Visual Basic) for code is equally acceptable in the solution of the problems given in the book.
Intended for professors and instructors, scientific researchers, students, and industry professionals, the book will help readers to choose the most appropriate mathematical modeling method to solve engineering problems, and the authors also include methods that allow for the solving of nonmathematical problems as mathematical problems.
Table of Contents
Mathematical Modeling as a Method of Technical Objects Research
Tabular Dependencies and Techniques of Work with Tables
Analytical Dependencies and Methods of Their Obtainment
Mathematical Models as Selection Problems
Phenomenological Models in Engineering
Mathematical Models Developed with the Application of Fundamental Laws of Physics
Methods of Computational Analysis of Models with Differential Equations in Partial Derivatives
Ali V. Aliev, DSc, is a professor at the M. T. Kalashnikov Izhevsk State Technical University in Izhevsk, Russia, where he teaches theory, calculating, and design of rocket engines as well as mathematical modeling in rocket engines. He has published over 300 articles and seven books and hold 25 patents. He has received several awards, including an Honorable Worker of High Education of the Russian Federation and Doctor Honoris Causa of Trenchin University (Slovakia). His research interests include intrachamber processes in solid propellant rocket engines and numerical simulation of processes in technical system.
Olga V. Mishchenkova, PhD, is a senior lecturer at the M. T. Kalashnikov Izhevsk State Technical University in Izhevsk, Russia, where she teaches numerical methods and mathematical modeling. She has published over 50 articles and one book. Her research interests include numerical simulation of processes in technical system and mathematical modeling in technology.