Differential Models

An Introduction with Mathcad

  • Alexander Pavlovich Solodov
  • Valery Fedorovich Ochkov

About this book


Differential equations are often used in mathematical models for technological processes or devices. However, the design of a differential mathematical model is crucial and difficult in engineering.

As a hands-on approach to learn how to pose a differential mathematical model the authors have selected 9 examples with important practical application and treat them as following:
- Problem-setting and physical model formulation
- Designing the differential mathematical model
- Integration of the differential equations
- Visualization of results

Each step of the development of a differential model is enriched by respective Mathcad 11 commands, todays necessary linkage of engineering significance and high computing complexity.

To support readers of the book with respect to changes that might occur in future versions of Mathcad (Mathcad 12 for example), updates of examples, codes etc. can be downloaded from the following web page Readers can work with Mathcad-sheets of the book without any Mathcad by help Mathcad Application Server Technology.


Computer-Aided Design (CAD) Differential Equations Heat Transfer Hydrodynamic Instablility Mathcad Shock Waves differential equation linear optimization model modeling stability visualization

Authors and affiliations

  • Alexander Pavlovich Solodov
    • 1
  • Valery Fedorovich Ochkov
    • 2
  1. 1.Dept. of Theoretical Basis of ThermotechnicsMoscow Power Engineering Institute (Technical University)MoscowRussia
  2. 2.Dept. of Water and Fuel TechnologyMoscow Power Engineering Institute (Technical University)MoscowRussia

Bibliographic information

  • DOI
  • Copyright Information Springer Berlin Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-20852-5
  • Online ISBN 978-3-540-26820-8
  • Buy this book on publisher's site