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Applied Differential Equations with Boundary Value Problems

✍ Scribed by Dobrushkin, Vladimir Andreevich


Publisher
Chapman and Hall/CRC
Year
2018
Tongue
English
Leaves
699
Series
Textbooks in mathematics (Boca Raton Fla.)
Edition
1
Category
Library

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✦ Synopsis


Applied Differential Equations with Boundary Value Problems presents a contemporary treatment of ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs), including their applications in engineering and the sciences. This new edition of the author’s popular textbook adds coverage of boundary value problems.

The text covers traditional material, along with novel approaches to mathematical modeling that harness the capabilities of numerical algorithms and popular computer software packages. It contains practical techniques for solving the equations as well as corresponding codes for numerical solvers. Many examples and exercises help students master effective solution techniques, including reliable numerical approximations.

This book describes differential equations in the context of applications and presents the main techniques needed for modeling and systems analysis. It teaches students how to formulate a mathematical model, solve differential equations analytically and numerically, analyze them qualitatively, and interpret the results.

✦ Subjects


Differential equations -- Textbooks.;Boundary value problems -- Textbooks.;Boundary value problems -- Numerical solutions.;Boundary value problems.;Differential equations.


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