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Analytical Techniques for Solving Nonlinear Partial Differential Equations / by Daniel J. Arrigo.
- Format:
- Book
- Author/Creator:
- Arrigo, Daniel J., Author.
- Series:
- Synthesis Lectures on Mathematics & Statistics, 1938-1751
- Language:
- English
- Subjects (All):
- Mathematics.
- Statistics.
- Engineering mathematics.
- Engineering Mathematics.
- Local Subjects:
- Mathematics.
- Statistics.
- Engineering Mathematics.
- Physical Description:
- 1 online resource (XIII, 151 p.)
- Edition:
- 1st ed. 2019.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2019.
- Summary:
- This is an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering, the reader is introduced to techniques used to obtain exact solutions of NPDEs. The chapters include the following topics: Compatibility, Differential Substitutions, Point and Contact Transformations, First Integrals, and Functional Separability. The reader is guided through these chapters and is provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter. The book can be used as a textbook for a second course in PDEs (typically found in both science and engineering programs) and has been used at the University of Central Arkansas for more than ten years.
- Contents:
- Preface
- Acknowledgments
- Nonlinear PDEs are Everywhere
- Compatibility
- Differential Substitutions
- Point and Contact Transformations
- First Integrals
- Functional Separability
- Solutions
- Author's Biography.
- ISBN:
- 9783031024177
- 3031024176
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