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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.
List of contents
Differential Mathematical Models.- Integrable Differential Equations.- Dynamic Model of Systems with Heat Generation.- Stiff Differential Equations.- Heat Transfer near the Stagnation Point at Cross Tube Flow.- The Falkner-Skan Equation of Boundary Layer.- Rayleigh's Equation: Hydrodynamical Instability.- Kinematic Waves of Concentration in Ion-Exchange Filter.- Kinematic Shock Waves.- Numerical Modeling of the CPU-Board Temperature Field.- Temperature Waves.
Summary
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.
Additional text
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)
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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)
