Overview

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.

Full Product Details

Author:   Alexander Solodov ,  Valery Ochkov
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of hardcover 1st ed. 2005
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783642058783

ISBN 10:   3642058787
Pages:   232
Publication Date:   13 October 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table 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.

Reviews

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)

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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