Solving Nonlinear Partial Differential Equations with Maple and Mathematica

✍ Scribed by Inna Shingareva, Carlos Lizárraga-Celaya (auth.)

• Publisher: Springer-Verlag Wien
• Year: 2011
• Tongue: English
• Leaves: 372
• Edition: 1
• Category: Library

✦ Synopsis

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

✦ Table of Contents

Front Matter....Pages i-xiii
Introduction....Pages 1-34
Algebraic Approach....Pages 35-144
Geometric-Qualitative Approach....Pages 145-186
General Analytical Approach. Integrability....Pages 187-226
Approximate Analytical Approach....Pages 227-262
Numerical Approach....Pages 263-304
Analytical-Numerical Approach....Pages 305-324
Back Matter....Pages 325-357

✦ Subjects

Partial Differential Equations;Nonlinear Dynamics;Appl.Mathematics/Computational Methods of Engineering