Solving Nonlinear Partial Differential Equations with Maple and Mathematica

Authors: Shingareva, Inna, Lizárraga-Celaya, Carlos

  • Presents different approaches for solving nonlinear PDEs and systems
  • Contains numerous examples and comparisons
  • Explores the use of two computer algebra systems, Maple and Mathematica, enables comparisons between various types of solutions and approaches
  • Presented in a concise and tutorial programming style of Maple and Mathematica that helps readers understand and solve nonlinear PDEs and many other differential equations
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  • ISBN 978-3-7091-0517-7
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Hardcover $129.00
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Softcover $129.00
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  • ISBN 978-3-7091-1721-7
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About this book

The emphasis of this work is on constructing different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results obtained in Maple and Mathematica, facilitates a deeper understanding of the subject

Reviews

From the reviews:

“The authors consider the problem of constructing closed-form and approximate solutions to nonlinear partial differential equations with the help of computer algebra systems. … The book will be useful for readers who want to try modern methods for solving nonlinear partial differential equations on concrete examples without bothering too much about the mathematics behind the methods. Thus it is mainly of interest for applied scientists. Mathematicians may use it in connection with more theoretical works; some references are given throughout the book.” (Werner M. Seiler, Zentralblatt MATH, Vol. 1233, 2012)


Table of contents (7 chapters)

  • Introduction

    Shingareva, Inna (et al.)

    Pages 1-34

  • Algebraic Approach

    Shingareva, Inna (et al.)

    Pages 35-144

  • Geometric-Qualitative Approach

    Shingareva, Inna (et al.)

    Pages 145-186

  • General Analytical Approach. Integrability

    Shingareva, Inna (et al.)

    Pages 187-226

  • Approximate Analytical Approach

    Shingareva, Inna (et al.)

    Pages 227-262

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-7091-0517-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-7091-0516-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-3-7091-1721-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Solving Nonlinear Partial Differential Equations with Maple and Mathematica
Authors
Copyright
2011
Publisher
Springer-Verlag Wien
Copyright Holder
Springer-Verlag/Wien
eBook ISBN
978-3-7091-0517-7
DOI
10.1007/978-3-7091-0517-7
Hardcover ISBN
978-3-7091-0516-0
Softcover ISBN
978-3-7091-1721-7
Edition Number
1
Number of Pages
XIII, 357
Topics