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© 2011

Solving Nonlinear Partial Differential Equations with Maple and Mathematica

Book

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Inna Shingareva, Carlos Lizárraga-Celaya
    Pages 1-34
  3. Inna Shingareva, Carlos Lizárraga-Celaya
    Pages 35-144
  4. Inna Shingareva, Carlos Lizárraga-Celaya
    Pages 145-186
  5. Inna Shingareva, Carlos Lizárraga-Celaya
    Pages 187-226
  6. Inna Shingareva, Carlos Lizárraga-Celaya
    Pages 227-262
  7. Inna Shingareva, Carlos Lizárraga-Celaya
    Pages 263-304
  8. Inna Shingareva, Carlos Lizárraga-Celaya
    Pages 305-324
  9. Back Matter
    Pages 325-357

About this book

Introduction

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

Keywords

CAS Computer Algebra System Maple and Mathematica Nonlinear Partial Differential Equations PDE

Authors and affiliations

  1. 1., Dept. of MathematicsUniversity of SonoraSonoraMexico
  2. 2., Departamento de FísicaUniversidad de SonoraSonoraMexico

Bibliographic information

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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)