Differential Models

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 www.thermal.ru. Readers can work with Mathcad-sheets of the book without any Mathcad by help Mathcad Application Server Technology.

From the reviews:

"The purpose of the book is to provide students and specialists in science and engineering with a knowledge necessary to carry out an in-depth study of applied problems. The book shall prove useful for engineers and engineering students who wish to increase the efficiency of applied research with the help of a powerful and versatile software package Mathcad." (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1056, 2005)

Inhalt
Differential Mathematical Models.- Integrable Differential Equations.- Dynamic Model of the System with Heat Engineering.- Stiff Differential Equations.- Heat Transfer near the Critical Point.- The Faulkner-Skan Equation of Boundary Layer.- The Rayleigh Equation: Hydronamic Instability.- Kinematic Waves of Concentration in Ion-Exchange Filters.- Kinematic Shock Waves.- Numerical Modeling of the CPU-board Temperature Field.- Temperature Waves.